Sr Examen

Otras calculadoras

¿Cómo vas a descomponer esta tg9actg9a-((sin^2(6a)-1)/(1-cos^2(6a))) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src]
                       2         
                    sin (6*a) - 1
tan(9*a)*cot(9*a) - -------------
                           2     
                    1 - cos (6*a)
tan(9a)cot(9a)sin2(6a)11cos2(6a)\tan{\left(9 a \right)} \cot{\left(9 a \right)} - \frac{\sin^{2}{\left(6 a \right)} - 1}{1 - \cos^{2}{\left(6 a \right)}}
tan(9*a)*cot(9*a) - (sin(6*a)^2 - 1)/(1 - cos(6*a)^2)
Simplificación general [src]
     -2       
--------------
-1 + cos(12*a)
2cos(12a)1- \frac{2}{\cos{\left(12 a \right)} - 1}
-2/(-1 + cos(12*a))
Unión de expresiones racionales [src]
       2        /       2     \                  
1 - sin (6*a) + \1 - cos (6*a)/*cot(9*a)*tan(9*a)
-------------------------------------------------
                         2                       
                  1 - cos (6*a)                  
(1cos2(6a))tan(9a)cot(9a)sin2(6a)+11cos2(6a)\frac{\left(1 - \cos^{2}{\left(6 a \right)}\right) \tan{\left(9 a \right)} \cot{\left(9 a \right)} - \sin^{2}{\left(6 a \right)} + 1}{1 - \cos^{2}{\left(6 a \right)}}
(1 - sin(6*a)^2 + (1 - cos(6*a)^2)*cot(9*a)*tan(9*a))/(1 - cos(6*a)^2)
Denominador racional [src]
       2        /       2     \                  
1 - sin (6*a) + \1 - cos (6*a)/*cot(9*a)*tan(9*a)
-------------------------------------------------
                         2                       
                  1 - cos (6*a)                  
(1cos2(6a))tan(9a)cot(9a)sin2(6a)+11cos2(6a)\frac{\left(1 - \cos^{2}{\left(6 a \right)}\right) \tan{\left(9 a \right)} \cot{\left(9 a \right)} - \sin^{2}{\left(6 a \right)} + 1}{1 - \cos^{2}{\left(6 a \right)}}
(1 - sin(6*a)^2 + (1 - cos(6*a)^2)*cot(9*a)*tan(9*a))/(1 - cos(6*a)^2)
Potencias [src]
                           2                                  
       /   -6*I*a    6*I*a\                                   
       \- e       + e     /                                   
  -1 - ---------------------     /   9*I*a    -9*I*a\         
                 4             I*\- e      + e      /*cot(9*a)
- -------------------------- + -------------------------------
                         2              -9*I*a    9*I*a       
       / -6*I*a    6*I*a\              e       + e            
       |e         e     |                                     
   1 - |------- + ------|                                     
       \   2        2   /                                     
i(e9ia+e9ia)cot(9a)e9ia+e9ia(e6iae6ia)2411(e6ia2+e6ia2)2\frac{i \left(- e^{9 i a} + e^{- 9 i a}\right) \cot{\left(9 a \right)}}{e^{9 i a} + e^{- 9 i a}} - \frac{- \frac{\left(e^{6 i a} - e^{- 6 i a}\right)^{2}}{4} - 1}{1 - \left(\frac{e^{6 i a}}{2} + \frac{e^{- 6 i a}}{2}\right)^{2}}
       2                         
1 - sin (6*a)                    
------------- + cot(9*a)*tan(9*a)
       2                         
1 - cos (6*a)                    
1sin2(6a)1cos2(6a)+tan(9a)cot(9a)\frac{1 - \sin^{2}{\left(6 a \right)}}{1 - \cos^{2}{\left(6 a \right)}} + \tan{\left(9 a \right)} \cot{\left(9 a \right)}
(1 - sin(6*a)^2)/(1 - cos(6*a)^2) + cot(9*a)*tan(9*a)
Respuesta numérica [src]
cot(9*a)*tan(9*a) - (-1.0 + sin(6*a)^2)/(1.0 - cos(6*a)^2)
cot(9*a)*tan(9*a) - (-1.0 + sin(6*a)^2)/(1.0 - cos(6*a)^2)
Abrimos la expresión [src]
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                                                                                                                                                                                                                                                                                                                                                     3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        7                                                                                                                                                                                          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                                                                                                                                                                                                                                                                          9       7                                                                                                                                                                                                                                                                                                                                                                                                                                                                                9                                                                                                                                                                                                                                                                     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                                                                                                                                                                                                 5                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        5                                                                                                                                                                                                                                                                                                                                              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                                                                                                                       5       5                                                                                                                                                                                                                                    
                                           1                                                                                                                                                                                                                                                                                  cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                                                                                                       10584*cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                                                                                                    10584*cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                                                                                                     4536*cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                                                                                                     4536*cot (a)*tan (a)                                                                                                                                                                                                                                                                      1408*cos (a)*sin (a)                                                                      1024*cos (a)*sin  (a)                                                                                                                                                                                                                                                                       756*cot (a)*tan(a)                                                                                                                                                                                                                                                                                                                                                                                                                                                                       756*tan (a)*cot(a)                                                                                                                                                                                                                                                                                                                                                                                                                                                                       324*cot (a)*tan(a)                                                                                                                                                                                                                                                                                                                                                                                                                                                                       324*tan (a)*cot(a)                                                                                                                                                                                                                                                                                                                                                                                                                                                                       84*cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                                                                                                       84*cot (a)*tan (a)                                                                                                                                                                                                                                                                        36*cos (a)*sin (a)                                                                                                                                                                                                                                                                        36*cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                                                                                                       36*cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                                                                                                        9*cot (a)*tan(a)                                                                                                                                                                                                                                                                                                                                                                                                                                                                         9*tan (a)*cot(a)                                                                                                                                                                                                                                                                                                                                                                                                                                                                         81*cot(a)*tan(a)                                                                                                                                                                                                                                                                                                                                                                                                                                                                       126*cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                                                                                                      126*cot (a)*tan (a)                                                                                                                                                                                                                                                                       384*cos (a)*sin (a)                                                                                                                                                                                                                                                                       1134*cot (a)*tan(a)                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1134*tan (a)*cot(a)                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1296*cot (a)*tan (a)                                                                                                                                                                                                                                                                      2048*cos (a)*sin (a)                                                                                                                                                                                                                                                                      3024*cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                                                                                                     3024*cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                                                                                                     7056*cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                                                                                                    15876*cot (a)*tan (a)                                                                                                                                                                                                                                 
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          8              12             4            2              6              10                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                8              12             4            2              6              10                8              12             4            2              6              10                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                8              12             4            2              6              10                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                8              12             4            2              6              10                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                8              12             4            2              6              10                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4                6            6            2            2           8           8             4             4               4       6               6       4              2       4              4       2             6       8             8       6             2       8             8       2            8       8              4       8              8       4              2       2              2       6              6       2              6       6               4       4   
- 3456*cos (a) - 1024*cos  (a) - 420*cos (a) + 36*cos (a) + 1792*cos (a) + 3072*cos  (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   - 3456*cos (a) - 1024*cos  (a) - 420*cos (a) + 36*cos (a) + 1792*cos (a) + 3072*cos  (a)   - 3456*cos (a) - 1024*cos  (a) - 420*cos (a) + 36*cos (a) + 1792*cos (a) + 3072*cos  (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   - 3456*cos (a) - 1024*cos  (a) - 420*cos (a) + 36*cos (a) + 1792*cos (a) + 3072*cos  (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   - 3456*cos (a) - 1024*cos  (a) - 420*cos (a) + 36*cos (a) + 1792*cos (a) + 3072*cos  (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   - 3456*cos (a) - 1024*cos  (a) - 420*cos (a) + 36*cos (a) + 1792*cos (a) + 3072*cos  (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)   1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)
tan9(a)cot9(a)81tan8(a)cot8(a)756tan8(a)cot6(a)+1134tan8(a)cot4(a)324tan8(a)cot2(a)+9tan8(a)756tan6(a)cot8(a)+7056tan6(a)cot6(a)10584tan6(a)cot4(a)+3024tan6(a)cot2(a)84tan6(a)+1134tan4(a)cot8(a)10584tan4(a)cot6(a)+15876tan4(a)cot4(a)4536tan4(a)cot2(a)+126tan4(a)324tan2(a)cot8(a)+3024tan2(a)cot6(a)4536tan2(a)cot4(a)+1296tan2(a)cot2(a)36tan2(a)+9cot8(a)84cot6(a)+126cot4(a)36cot2(a)+136tan9(a)cot7(a)81tan8(a)cot8(a)756tan8(a)cot6(a)+1134tan8(a)cot4(a)324tan8(a)cot2(a)+9tan8(a)756tan6(a)cot8(a)+7056tan6(a)cot6(a)10584tan6(a)cot4(a)+3024tan6(a)cot2(a)84tan6(a)+1134tan4(a)cot8(a)10584tan4(a)cot6(a)+15876tan4(a)cot4(a)4536tan4(a)cot2(a)+126tan4(a)324tan2(a)cot8(a)+3024tan2(a)cot6(a)4536tan2(a)cot4(a)+1296tan2(a)cot2(a)36tan2(a)+9cot8(a)84cot6(a)+126cot4(a)36cot2(a)+1+126tan9(a)cot5(a)81tan8(a)cot8(a)756tan8(a)cot6(a)+1134tan8(a)cot4(a)324tan8(a)cot2(a)+9tan8(a)756tan6(a)cot8(a)+7056tan6(a)cot6(a)10584tan6(a)cot4(a)+3024tan6(a)cot2(a)84tan6(a)+1134tan4(a)cot8(a)10584tan4(a)cot6(a)+15876tan4(a)cot4(a)4536tan4(a)cot2(a)+126tan4(a)324tan2(a)cot8(a)+3024tan2(a)cot6(a)4536tan2(a)cot4(a)+1296tan2(a)cot2(a)36tan2(a)+9cot8(a)84cot6(a)+126cot4(a)36cot2(a)+184tan9(a)cot3(a)81tan8(a)cot8(a)756tan8(a)cot6(a)+1134tan8(a)cot4(a)324tan8(a)cot2(a)+9tan8(a)756tan6(a)cot8(a)+7056tan6(a)cot6(a)10584tan6(a)cot4(a)+3024tan6(a)cot2(a)84tan6(a)+1134tan4(a)cot8(a)10584tan4(a)cot6(a)+15876tan4(a)cot4(a)4536tan4(a)cot2(a)+126tan4(a)324tan2(a)cot8(a)+3024tan2(a)cot6(a)4536tan2(a)cot4(a)+1296tan2(a)cot2(a)36tan2(a)+9cot8(a)84cot6(a)+126cot4(a)36cot2(a)+1+9tan9(a)cot(a)81tan8(a)cot8(a)756tan8(a)cot6(a)+1134tan8(a)cot4(a)324tan8(a)cot2(a)+9tan8(a)756tan6(a)cot8(a)+7056tan6(a)cot6(a)10584tan6(a)cot4(a)+3024tan6(a)cot2(a)84tan6(a)+1134tan4(a)cot8(a)10584tan4(a)cot6(a)+15876tan4(a)cot4(a)4536tan4(a)cot2(a)+126tan4(a)324tan2(a)cot8(a)+3024tan2(a)cot6(a)4536tan2(a)cot4(a)+1296tan2(a)cot2(a)36tan2(a)+9cot8(a)84cot6(a)+126cot4(a)36cot2(a)+136tan7(a)cot9(a)81tan8(a)cot8(a)756tan8(a)cot6(a)+1134tan8(a)cot4(a)324tan8(a)cot2(a)+9tan8(a)756tan6(a)cot8(a)+7056tan6(a)cot6(a)10584tan6(a)cot4(a)+3024tan6(a)cot2(a)84tan6(a)+1134tan4(a)cot8(a)10584tan4(a)cot6(a)+15876tan4(a)cot4(a)4536tan4(a)cot2(a)+126tan4(a)324tan2(a)cot8(a)+3024tan2(a)cot6(a)4536tan2(a)cot4(a)+1296tan2(a)cot2(a)36tan2(a)+9cot8(a)84cot6(a)+126cot4(a)36cot2(a)+1+1296tan7(a)cot7(a)81tan8(a)cot8(a)756tan8(a)cot6(a)+1134tan8(a)cot4(a)324tan8(a)cot2(a)+9tan8(a)756tan6(a)cot8(a)+7056tan6(a)cot6(a)10584tan6(a)cot4(a)+3024tan6(a)cot2(a)84tan6(a)+1134tan4(a)cot8(a)10584tan4(a)cot6(a)+15876tan4(a)cot4(a)4536tan4(a)cot2(a)+126tan4(a)324tan2(a)cot8(a)+3024tan2(a)cot6(a)4536tan2(a)cot4(a)+1296tan2(a)cot2(a)36tan2(a)+9cot8(a)84cot6(a)+126cot4(a)36cot2(a)+14536tan7(a)cot5(a)81tan8(a)cot8(a)756tan8(a)cot6(a)+1134tan8(a)cot4(a)324tan8(a)cot2(a)+9tan8(a)756tan6(a)cot8(a)+7056tan6(a)cot6(a)10584tan6(a)cot4(a)+3024tan6(a)cot2(a)84tan6(a)+1134tan4(a)cot8(a)10584tan4(a)cot6(a)+15876tan4(a)cot4(a)4536tan4(a)cot2(a)+126tan4(a)324tan2(a)cot8(a)+3024tan2(a)cot6(a)4536tan2(a)cot4(a)+1296tan2(a)cot2(a)36tan2(a)+9cot8(a)84cot6(a)+126cot4(a)36cot2(a)+1+3024tan7(a)cot3(a)81tan8(a)cot8(a)756tan8(a)cot6(a)+1134tan8(a)cot4(a)324tan8(a)cot2(a)+9tan8(a)756tan6(a)cot8(a)+7056tan6(a)cot6(a)10584tan6(a)cot4(a)+3024tan6(a)cot2(a)84tan6(a)+1134tan4(a)cot8(a)10584tan4(a)cot6(a)+15876tan4(a)cot4(a)4536tan4(a)cot2(a)+126tan4(a)324tan2(a)cot8(a)+3024tan2(a)cot6(a)4536tan2(a)cot4(a)+1296tan2(a)cot2(a)36tan2(a)+9cot8(a)84cot6(a)+126cot4(a)36cot2(a)+1324tan7(a)cot(a)81tan8(a)cot8(a)756tan8(a)cot6(a)+1134tan8(a)cot4(a)324tan8(a)cot2(a)+9tan8(a)756tan6(a)cot8(a)+7056tan6(a)cot6(a)10584tan6(a)cot4(a)+3024tan6(a)cot2(a)84tan6(a)+1134tan4(a)cot8(a)10584tan4(a)cot6(a)+15876tan4(a)cot4(a)4536tan4(a)cot2(a)+126tan4(a)324tan2(a)cot8(a)+3024tan2(a)cot6(a)4536tan2(a)cot4(a)+1296tan2(a)cot2(a)36tan2(a)+9cot8(a)84cot6(a)+126cot4(a)36cot2(a)+1+126tan5(a)cot9(a)81tan8(a)cot8(a)756tan8(a)cot6(a)+1134tan8(a)cot4(a)324tan8(a)cot2(a)+9tan8(a)756tan6(a)cot8(a)+7056tan6(a)cot6(a)10584tan6(a)cot4(a)+3024tan6(a)cot2(a)84tan6(a)+1134tan4(a)cot8(a)10584tan4(a)cot6(a)+15876tan4(a)cot4(a)4536tan4(a)cot2(a)+126tan4(a)324tan2(a)cot8(a)+3024tan2(a)cot6(a)4536tan2(a)cot4(a)+1296tan2(a)cot2(a)36tan2(a)+9cot8(a)84cot6(a)+126cot4(a)36cot2(a)+14536tan5(a)cot7(a)81tan8(a)cot8(a)756tan8(a)cot6(a)+1134tan8(a)cot4(a)324tan8(a)cot2(a)+9tan8(a)756tan6(a)cot8(a)+7056tan6(a)cot6(a)10584tan6(a)cot4(a)+3024tan6(a)cot2(a)84tan6(a)+1134tan4(a)cot8(a)10584tan4(a)cot6(a)+15876tan4(a)cot4(a)4536tan4(a)cot2(a)+126tan4(a)324tan2(a)cot8(a)+3024tan2(a)cot6(a)4536tan2(a)cot4(a)+1296tan2(a)cot2(a)36tan2(a)+9cot8(a)84cot6(a)+126cot4(a)36cot2(a)+1+15876tan5(a)cot5(a)81tan8(a)cot8(a)756tan8(a)cot6(a)+1134tan8(a)cot4(a)324tan8(a)cot2(a)+9tan8(a)756tan6(a)cot8(a)+7056tan6(a)cot6(a)10584tan6(a)cot4(a)+3024tan6(a)cot2(a)84tan6(a)+1134tan4(a)cot8(a)10584tan4(a)cot6(a)+15876tan4(a)cot4(a)4536tan4(a)cot2(a)+126tan4(a)324tan2(a)cot8(a)+3024tan2(a)cot6(a)4536tan2(a)cot4(a)+1296tan2(a)cot2(a)36tan2(a)+9cot8(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s6(a)420cos4(a)+36cos2(a)36sin2(a)cos2(a)1024cos12(a)+3072cos10(a)3456cos8(a)+1792cos6(a)420cos4(a)+36cos2(a)+11024cos12(a)+3072cos10(a)3456cos8(a)+1792cos6(a)420cos4(a)+36cos2(a)\frac{\tan^{9}{\left(a \right)} \cot^{9}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{36 \tan^{9}{\left(a \right)} \cot^{7}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{126 \tan^{9}{\left(a \right)} \cot^{5}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{84 \tan^{9}{\left(a \right)} \cot^{3}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{9 \tan^{9}{\left(a \right)} \cot{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{36 \tan^{7}{\left(a \right)} \cot^{9}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{1296 \tan^{7}{\left(a \right)} \cot^{7}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{4536 \tan^{7}{\left(a \right)} \cot^{5}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{3024 \tan^{7}{\left(a \right)} \cot^{3}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{324 \tan^{7}{\left(a \right)} \cot{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{126 \tan^{5}{\left(a \right)} \cot^{9}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{4536 \tan^{5}{\left(a \right)} \cot^{7}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{15876 \tan^{5}{\left(a \right)} \cot^{5}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{10584 \tan^{5}{\left(a \right)} \cot^{3}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{1134 \tan^{5}{\left(a \right)} \cot{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{84 \tan^{3}{\left(a \right)} \cot^{9}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{3024 \tan^{3}{\left(a \right)} \cot^{7}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{10584 \tan^{3}{\left(a \right)} \cot^{5}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{7056 \tan^{3}{\left(a \right)} \cot^{3}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{756 \tan^{3}{\left(a \right)} \cot{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{9 \tan{\left(a \right)} \cot^{9}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{324 \tan{\left(a \right)} \cot^{7}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{1134 \tan{\left(a \right)} \cot^{5}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{756 \tan{\left(a \right)} \cot^{3}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{81 \tan{\left(a \right)} \cot{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{1024 \sin^{10}{\left(a \right)} \cos^{2}{\left(a \right)}}{- 1024 \cos^{12}{\left(a \right)} + 3072 \cos^{10}{\left(a \right)} - 3456 \cos^{8}{\left(a \right)} + 1792 \cos^{6}{\left(a \right)} - 420 \cos^{4}{\left(a \right)} + 36 \cos^{2}{\left(a \right)}} + \frac{2048 \sin^{8}{\left(a \right)} \cos^{2}{\left(a \right)}}{- 1024 \cos^{12}{\left(a \right)} + 3072 \cos^{10}{\left(a \right)} - 3456 \cos^{8}{\left(a \right)} + 1792 \cos^{6}{\left(a \right)} - 420 \cos^{4}{\left(a \right)} + 36 \cos^{2}{\left(a \right)}} - \frac{1408 \sin^{6}{\left(a \right)} \cos^{2}{\left(a \right)}}{- 1024 \cos^{12}{\left(a \right)} + 3072 \cos^{10}{\left(a \right)} - 3456 \cos^{8}{\left(a \right)} + 1792 \cos^{6}{\left(a \right)} - 420 \cos^{4}{\left(a \right)} + 36 \cos^{2}{\left(a \right)}} + \frac{384 \sin^{4}{\left(a \right)} \cos^{2}{\left(a \right)}}{- 1024 \cos^{12}{\left(a \right)} + 3072 \cos^{10}{\left(a \right)} - 3456 \cos^{8}{\left(a \right)} + 1792 \cos^{6}{\left(a \right)} - 420 \cos^{4}{\left(a \right)} + 36 \cos^{2}{\left(a \right)}} - \frac{36 \sin^{2}{\left(a \right)} \cos^{2}{\left(a \right)}}{- 1024 \cos^{12}{\left(a \right)} + 3072 \cos^{10}{\left(a \right)} - 3456 \cos^{8}{\left(a \right)} + 1792 \cos^{6}{\left(a \right)} - 420 \cos^{4}{\left(a \right)} + 36 \cos^{2}{\left(a \right)}} + \frac{1}{- 1024 \cos^{12}{\left(a \right)} + 3072 \cos^{10}{\left(a \right)} - 3456 \cos^{8}{\left(a \right)} + 1792 \cos^{6}{\left(a \right)} - 420 \cos^{4}{\left(a \right)} + 36 \cos^{2}{\left(a \right)}}
1/(-3456*cos(a)^8 - 1024*cos(a)^12 - 420*cos(a)^4 + 36*cos(a)^2 + 1792*cos(a)^6 + 3072*cos(a)^10) + cot(a)^9*tan(a)^9/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 10584*cot(a)^3*tan(a)^5/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 10584*cot(a)^5*tan(a)^3/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 4536*cot(a)^5*tan(a)^7/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 4536*cot(a)^7*tan(a)^5/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 1408*cos(a)^2*sin(a)^6/(-3456*cos(a)^8 - 1024*cos(a)^12 - 420*cos(a)^4 + 36*cos(a)^2 + 1792*cos(a)^6 + 3072*cos(a)^10) - 1024*cos(a)^2*sin(a)^10/(-3456*cos(a)^8 - 1024*cos(a)^12 - 420*cos(a)^4 + 36*cos(a)^2 + 1792*cos(a)^6 + 3072*cos(a)^10) - 756*cot(a)^3*tan(a)/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 756*tan(a)^3*cot(a)/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 324*cot(a)^7*tan(a)/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 324*tan(a)^7*cot(a)/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 84*cot(a)^3*tan(a)^9/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 84*cot(a)^9*tan(a)^3/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 36*cos(a)^2*sin(a)^2/(-3456*cos(a)^8 - 1024*cos(a)^12 - 420*cos(a)^4 + 36*cos(a)^2 + 1792*cos(a)^6 + 3072*cos(a)^10) - 36*cot(a)^7*tan(a)^9/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 36*cot(a)^9*tan(a)^7/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 9*cot(a)^9*tan(a)/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 9*tan(a)^9*cot(a)/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 81*cot(a)*tan(a)/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 126*cot(a)^5*tan(a)^9/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 126*cot(a)^9*tan(a)^5/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 384*cos(a)^2*sin(a)^4/(-3456*cos(a)^8 - 1024*cos(a)^12 - 420*cos(a)^4 + 36*cos(a)^2 + 1792*cos(a)^6 + 3072*cos(a)^10) + 1134*cot(a)^5*tan(a)/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 1134*tan(a)^5*cot(a)/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 1296*cot(a)^7*tan(a)^7/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 2048*cos(a)^2*sin(a)^8/(-3456*cos(a)^8 - 1024*cos(a)^12 - 420*cos(a)^4 + 36*cos(a)^2 + 1792*cos(a)^6 + 3072*cos(a)^10) + 3024*cot(a)^3*tan(a)^7/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 3024*cot(a)^7*tan(a)^3/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 7056*cot(a)^3*tan(a)^3/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 15876*cot(a)^5*tan(a)^5/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4)
Combinatoria [src]
        2                               2                       
-1 + sin (6*a) - cot(9*a)*tan(9*a) + cos (6*a)*cot(9*a)*tan(9*a)
----------------------------------------------------------------
                 (1 + cos(6*a))*(-1 + cos(6*a))                 
sin2(6a)+cos2(6a)tan(9a)cot(9a)tan(9a)cot(9a)1(cos(6a)1)(cos(6a)+1)\frac{\sin^{2}{\left(6 a \right)} + \cos^{2}{\left(6 a \right)} \tan{\left(9 a \right)} \cot{\left(9 a \right)} - \tan{\left(9 a \right)} \cot{\left(9 a \right)} - 1}{\left(\cos{\left(6 a \right)} - 1\right) \left(\cos{\left(6 a \right)} + 1\right)}
(-1 + sin(6*a)^2 - cot(9*a)*tan(9*a) + cos(6*a)^2*cot(9*a)*tan(9*a))/((1 + cos(6*a))*(-1 + cos(6*a)))
Denominador común [src]
        2                         
-1 + sin (6*a)                    
-------------- + cot(9*a)*tan(9*a)
        2                         
-1 + cos (6*a)                    
sin2(6a)1cos2(6a)1+tan(9a)cot(9a)\frac{\sin^{2}{\left(6 a \right)} - 1}{\cos^{2}{\left(6 a \right)} - 1} + \tan{\left(9 a \right)} \cot{\left(9 a \right)}
(-1 + sin(6*a)^2)/(-1 + cos(6*a)^2) + cot(9*a)*tan(9*a)
Parte trigonométrica [src]
      2      
-------------
1 - cos(12*a)
21cos(12a)\frac{2}{1 - \cos{\left(12 a \right)}}
               1      
      -1 + ---------  
              2       
           csc (6*a)  
1 - ------------------
              1       
    1 - --------------
           2/pi      \
        csc |-- - 6*a|
            \2       /
1+1csc2(6a)11csc2(6a+π2)+1- \frac{-1 + \frac{1}{\csc^{2}{\left(6 a \right)}}}{1 - \frac{1}{\csc^{2}{\left(- 6 a + \frac{\pi}{2} \right)}}} + 1
             1    
    -1 + ---------
            2     
         csc (6*a)
1 - --------------
            1     
    1 - --------- 
           2      
        sec (6*a) 
1+1csc2(6a)11sec2(6a)+1- \frac{-1 + \frac{1}{\csc^{2}{\left(6 a \right)}}}{1 - \frac{1}{\sec^{2}{\left(6 a \right)}}} + 1
        2         
------------------
          1       
1 - --------------
       /pi       \
    csc|-- - 12*a|
       \2        /
211csc(12a+π2)\frac{2}{1 - \frac{1}{\csc{\left(- 12 a + \frac{\pi}{2} \right)}}}
               1       
    -1 + --------------
            2/      pi\
         sec |6*a - --|
             \      2 /
1 - -------------------
               1       
       1 - ---------   
              2        
           sec (6*a)   
1+1sec2(6aπ2)11sec2(6a)+1- \frac{-1 + \frac{1}{\sec^{2}{\left(6 a - \frac{\pi}{2} \right)}}}{1 - \frac{1}{\sec^{2}{\left(6 a \right)}}} + 1
            2/      pi\
    -1 + cos |6*a - --|
             \      2 /
1 - -------------------
              2        
       1 - cos (6*a)   
1cos2(6aπ2)11cos2(6a)1 - \frac{\cos^{2}{\left(6 a - \frac{\pi}{2} \right)} - 1}{1 - \cos^{2}{\left(6 a \right)}}
        2        
-----------------
           2     
    1 - tan (6*a)
1 - -------------
           2     
    1 + tan (6*a)
21tan2(6a)tan2(6a)+1+1\frac{2}{- \frac{1 - \tan^{2}{\left(6 a \right)}}{\tan^{2}{\left(6 a \right)} + 1} + 1}
            2     
    -1 + sin (6*a)
1 - --------------
           2      
    1 - cos (6*a) 
1sin2(6a)11cos2(6a)1 - \frac{\sin^{2}{\left(6 a \right)} - 1}{1 - \cos^{2}{\left(6 a \right)}}
                2        
           4*cot (3*a)   
    -1 + ----------------
                        2
         /       2     \ 
         \1 + cot (3*a)/ 
1 - ---------------------
                        2
        /        2     \ 
        \-1 + cot (3*a)/ 
    1 - -----------------
                        2
         /       2     \ 
         \1 + cot (3*a)/ 
1+4cot2(3a)(cot2(3a)+1)2(cot2(3a)1)2(cot2(3a)+1)2+1+1- \frac{-1 + \frac{4 \cot^{2}{\left(3 a \right)}}{\left(\cot^{2}{\left(3 a \right)} + 1\right)^{2}}}{- \frac{\left(\cot^{2}{\left(3 a \right)} - 1\right)^{2}}{\left(\cot^{2}{\left(3 a \right)} + 1\right)^{2}} + 1} + 1
              2       
      -1 + sin (6*a)  
1 - ------------------
           2/pi      \
    1 - sin |-- + 6*a|
            \2       /
1sin2(6a)11sin2(6a+π2)1 - \frac{\sin^{2}{\left(6 a \right)} - 1}{1 - \sin^{2}{\left(6 a + \frac{\pi}{2} \right)}}
                2        
           4*tan (3*a)   
    -1 + ----------------
                        2
         /       2     \ 
         \1 + tan (3*a)/ 
1 - ---------------------
                        2
         /       2     \ 
         \1 - tan (3*a)/ 
     1 - ----------------
                        2
         /       2     \ 
         \1 + tan (3*a)/ 
1+4tan2(3a)(tan2(3a)+1)2(1tan2(3a))2(tan2(3a)+1)2+1+1- \frac{-1 + \frac{4 \tan^{2}{\left(3 a \right)}}{\left(\tan^{2}{\left(3 a \right)} + 1\right)^{2}}}{- \frac{\left(1 - \tan^{2}{\left(3 a \right)}\right)^{2}}{\left(\tan^{2}{\left(3 a \right)} + 1\right)^{2}} + 1} + 1
        2         
------------------
            2     
    -1 + cot (6*a)
1 - --------------
           2      
    1 + cot (6*a) 
2cot2(6a)1cot2(6a)+1+1\frac{2}{- \frac{\cot^{2}{\left(6 a \right)} - 1}{\cot^{2}{\left(6 a \right)} + 1} + 1}
      2      
-------------
        1    
1 - ---------
    sec(12*a)
211sec(12a)\frac{2}{1 - \frac{1}{\sec{\left(12 a \right)}}}
        2         
------------------
       /pi       \
1 - sin|-- + 12*a|
       \2        /
21sin(12a+π2)\frac{2}{1 - \sin{\left(12 a + \frac{\pi}{2} \right)}}
2/(1 - sin(pi/2 + 12*a))