Sr Examen

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¿Cómo vas a descomponer esta tg9actg9a-(sin^26a-1)/(1-cos^2a) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src]
                       26       
                    sin  (a) - 1
tan(9*a)*cot(9*a) - ------------
                           2    
                    1 - cos (a) 
tan(9a)cot(9a)sin26(a)11cos2(a)\tan{\left(9 a \right)} \cot{\left(9 a \right)} - \frac{\sin^{26}{\left(a \right)} - 1}{1 - \cos^{2}{\left(a \right)}}
tan(9*a)*cot(9*a) - (sin(a)^26 - 1)/(1 - cos(a)^2)
Simplificación general [src]
       1         24   
2 + ------- - sin  (a)
       2              
    tan (a)           
sin24(a)+2+1tan2(a)- \sin^{24}{\left(a \right)} + 2 + \frac{1}{\tan^{2}{\left(a \right)}}
2 + tan(a)^(-2) - sin(a)^24
Denominador racional [src]
       26      /       2   \                  
1 - sin  (a) + \1 - cos (a)/*cot(9*a)*tan(9*a)
----------------------------------------------
                        2                     
                 1 - cos (a)                  
(1cos2(a))tan(9a)cot(9a)sin26(a)+11cos2(a)\frac{\left(1 - \cos^{2}{\left(a \right)}\right) \tan{\left(9 a \right)} \cot{\left(9 a \right)} - \sin^{26}{\left(a \right)} + 1}{1 - \cos^{2}{\left(a \right)}}
(1 - sin(a)^26 + (1 - cos(a)^2)*cot(9*a)*tan(9*a))/(1 - cos(a)^2)
Respuesta numérica [src]
cot(9*a)*tan(9*a) - (-1.0 + sin(a)^26)/(1.0 - cos(a)^2)
cot(9*a)*tan(9*a) - (-1.0 + sin(a)^26)/(1.0 - cos(a)^2)
Denominador común [src]
        26                       
-1 + sin  (a)                    
------------- + cot(9*a)*tan(9*a)
         2                       
 -1 + cos (a)                    
sin26(a)1cos2(a)1+tan(9a)cot(9a)\frac{\sin^{26}{\left(a \right)} - 1}{\cos^{2}{\left(a \right)} - 1} + \tan{\left(9 a \right)} \cot{\left(9 a \right)}
(-1 + sin(a)^26)/(-1 + cos(a)^2) + cot(9*a)*tan(9*a)
Potencias [src]
                       26                                  
       /   -I*a    I*a\                                    
       \- e     + e   /                                    
  -1 - ------------------     /   9*I*a    -9*I*a\         
            67108864        I*\- e      + e      /*cot(9*a)
- ----------------------- + -------------------------------
                      2              -9*I*a    9*I*a       
        / I*a    -I*a\              e       + e            
        |e      e    |                                     
    1 - |---- + -----|                                     
        \ 2       2  /                                     
i(e9ia+e9ia)cot(9a)e9ia+e9ia(eiaeia)266710886411(eia2+eia2)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^{i a} - e^{- i a}\right)^{26}}{67108864} - 1}{1 - \left(\frac{e^{i a}}{2} + \frac{e^{- i a}}{2}\right)^{2}}
       26                       
1 - sin  (a)                    
------------ + cot(9*a)*tan(9*a)
       2                        
1 - cos (a)                     
1sin26(a)1cos2(a)+tan(9a)cot(9a)\frac{1 - \sin^{26}{\left(a \right)}}{1 - \cos^{2}{\left(a \right)}} + \tan{\left(9 a \right)} \cot{\left(9 a \right)}
(1 - sin(a)^26)/(1 - cos(a)^2) + cot(9*a)*tan(9*a)
Combinatoria [src]
        26                             2                     
-1 + sin  (a) - cot(9*a)*tan(9*a) + cos (a)*cot(9*a)*tan(9*a)
-------------------------------------------------------------
                  (1 + cos(a))*(-1 + cos(a))                 
sin26(a)+cos2(a)tan(9a)cot(9a)tan(9a)cot(9a)1(cos(a)1)(cos(a)+1)\frac{\sin^{26}{\left(a \right)} + \cos^{2}{\left(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(a \right)} - 1\right) \left(\cos{\left(a \right)} + 1\right)}
(-1 + sin(a)^26 - cot(9*a)*tan(9*a) + cos(a)^2*cot(9*a)*tan(9*a))/((1 + cos(a))*(-1 + cos(a)))
Unión de expresiones racionales [src]
       26      /       2   \                  
1 - sin  (a) + \1 - cos (a)/*cot(9*a)*tan(9*a)
----------------------------------------------
                        2                     
                 1 - cos (a)                  
(1cos2(a))tan(9a)cot(9a)sin26(a)+11cos2(a)\frac{\left(1 - \cos^{2}{\left(a \right)}\right) \tan{\left(9 a \right)} \cot{\left(9 a \right)} - \sin^{26}{\left(a \right)} + 1}{1 - \cos^{2}{\left(a \right)}}
(1 - sin(a)^26 + (1 - cos(a)^2)*cot(9*a)*tan(9*a))/(1 - cos(a)^2)
Abrimos la expresión [src]
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                                                                                                3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        7                                                                                                                                                                                                                                                                                                                                                                                                                                               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                                                                                                                                                                                                                                                                                                                                                                                                                   9                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        9                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 5       9                                                                                                                                                                                                                                                                                                                                                                                                                                                                                9       5                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 5                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        5                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        7       7                                                                                                                                                                                                                                                                                                                                                                                                                                                                                3       7                                                                                                                                                                                                                                                                                                                                                                                                                                                                                7       3                                                                                                                                                                                                                                                                                                                                               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     1          sin  (a)                                                                                                                                                                                                                                       cot (a)*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*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*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)                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1134*cot (a)*tan(a)                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1134*tan (a)*cot(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)                                                                                                                                                                                                                                 
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       2             2                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                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                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                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   
1 - cos (a)   1 - 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)   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)   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)   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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\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{\sin^{26}{\left(a \right)}}{1 - \cos^{2}{\left(a \right)}} + \frac{1}{1 - \cos^{2}{\left(a \right)}}
1/(1 - cos(a)^2) - sin(a)^26/(1 - cos(a)^2) + 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) - 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*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) + 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) + 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)