Descomposición de una fracción tg8a*ctg8a-(cos²6a-1)/(1-sin²6a) (tg8a multiplicar por ctg8a menos (coseno de al cuadrado 6a menos 1) dividir por (1 menos seno de al cuadrado 6a))

Ha introducido [src]

                       26       
                    cos  (a) - 1
tan(8*a)*cot(8*a) - ------------
                           26   
                    1 - sin  (a)

\tan{\left(8 a \right)} \cot{\left(8 a \right)} - \frac{\cos^{26}{\left(a \right)} - 1}{1 - \sin^{26}{\left(a \right)}}

tan(8*a)*cot(8*a) - (cos(a)^26 - 1)/(1 - sin(a)^26)

Simplificación general [src]

        26         26   
-2 + cos  (a) + sin  (a)
------------------------
             26         
     -1 + sin  (a)

\frac{\sin^{26}{\left(a \right)} + \cos^{26}{\left(a \right)} - 2}{\sin^{26}{\left(a \right)} - 1}

(-2 + cos(a)^26 + sin(a)^26)/(-1 + sin(a)^26)

Respuesta numérica [src]

cot(8*a)*tan(8*a) - (-1.0 + cos(a)^26)/(1.0 - sin(a)^26)

cot(8*a)*tan(8*a) - (-1.0 + cos(a)^26)/(1.0 - sin(a)^26)

Potencias [src]

                     26                                   
       / I*a    -I*a\                                     
       |e      e    |                                     
  -1 + |---- + -----|        /   8*I*a    -8*I*a\         
       \ 2       2  /      I*\- e      + e      /*cot(8*a)
- ---------------------- + -------------------------------
                      26            -8*I*a    8*I*a       
      /   -I*a    I*a\             e       + e            
      \- e     + e   /                                    
  1 + ------------------                                  
           67108864

- \frac{\left(\frac{e^{i a}}{2} + \frac{e^{- i a}}{2}\right)^{26} - 1}{\frac{\left(e^{i a} - e^{- i a}\right)^{26}}{67108864} + 1} + \frac{i \left(- e^{8 i a} + e^{- 8 i a}\right) \cot{\left(8 a \right)}}{e^{8 i a} + e^{- 8 i a}}

       26                       
1 - cos  (a)                    
------------ + cot(8*a)*tan(8*a)
       26                       
1 - sin  (a)

\tan{\left(8 a \right)} \cot{\left(8 a \right)} + \frac{1 - \cos^{26}{\left(a \right)}}{1 - \sin^{26}{\left(a \right)}}

(1 - cos(a)^26)/(1 - sin(a)^26) + cot(8*a)*tan(8*a)

Denominador común [src]

        26                       
-1 + cos  (a)                    
------------- + cot(8*a)*tan(8*a)
        26                       
-1 + sin  (a)

\tan{\left(8 a \right)} \cot{\left(8 a \right)} + \frac{\cos^{26}{\left(a \right)} - 1}{\sin^{26}{\left(a \right)} - 1}

(-1 + cos(a)^26)/(-1 + sin(a)^26) + cot(8*a)*tan(8*a)

Denominador racional [src]

       26      /       26   \                  
1 - cos  (a) + \1 - sin  (a)/*cot(8*a)*tan(8*a)
-----------------------------------------------
                         26                    
                  1 - sin  (a)

\frac{\left(1 - \sin^{26}{\left(a \right)}\right) \tan{\left(8 a \right)} \cot{\left(8 a \right)} - \cos^{26}{\left(a \right)} + 1}{1 - \sin^{26}{\left(a \right)}}

(1 - cos(a)^26 + (1 - sin(a)^26)*cot(8*a)*tan(8*a))/(1 - sin(a)^26)

Combinatoria [src]

                                                                                                                    26                             26                                                                                                                                 
                                                                                                            -1 + cos  (a) - cot(8*a)*tan(8*a) + sin  (a)*cot(8*a)*tan(8*a)                                                                                                            
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                           /       2         3         4         5         6         7         8         9         10         11         12            \ /       2         4         6         8         10         12         3         5         7         9         11            \
(1 + sin(a))*(-1 + sin(a))*\1 + sin (a) + sin (a) + sin (a) + sin (a) + sin (a) + sin (a) + sin (a) + sin (a) + sin  (a) + sin  (a) + sin  (a) + sin(a)/*\1 + sin (a) + sin (a) + sin (a) + sin (a) + sin  (a) + sin  (a) - sin (a) - sin (a) - sin (a) - sin (a) - sin  (a) - sin(a)/

\frac{\sin^{26}{\left(a \right)} \tan{\left(8 a \right)} \cot{\left(8 a \right)} + \cos^{26}{\left(a \right)} - \tan{\left(8 a \right)} \cot{\left(8 a \right)} - 1}{\left(\sin{\left(a \right)} - 1\right) \left(\sin{\left(a \right)} + 1\right) \left(\sin^{12}{\left(a \right)} - \sin^{11}{\left(a \right)} + \sin^{10}{\left(a \right)} - \sin^{9}{\left(a \right)} + \sin^{8}{\left(a \right)} - \sin^{7}{\left(a \right)} + \sin^{6}{\left(a \right)} - \sin^{5}{\left(a \right)} + \sin^{4}{\left(a \right)} - \sin^{3}{\left(a \right)} + \sin^{2}{\left(a \right)} - \sin{\left(a \right)} + 1\right) \left(\sin^{12}{\left(a \right)} + \sin^{11}{\left(a \right)} + \sin^{10}{\left(a \right)} + \sin^{9}{\left(a \right)} + \sin^{8}{\left(a \right)} + \sin^{7}{\left(a \right)} + \sin^{6}{\left(a \right)} + \sin^{5}{\left(a \right)} + \sin^{4}{\left(a \right)} + \sin^{3}{\left(a \right)} + \sin^{2}{\left(a \right)} + \sin{\left(a \right)} + 1\right)}

(-1 + cos(a)^26 - cot(8*a)*tan(8*a) + sin(a)^26*cot(8*a)*tan(8*a))/((1 + sin(a))*(-1 + sin(a))*(1 + sin(a)^2 + sin(a)^3 + sin(a)^4 + sin(a)^5 + sin(a)^6 + sin(a)^7 + sin(a)^8 + sin(a)^9 + sin(a)^10 + sin(a)^11 + sin(a)^12 + sin(a))*(1 + sin(a)^2 + sin(a)^4 + sin(a)^6 + sin(a)^8 + sin(a)^10 + sin(a)^12 - sin(a)^3 - sin(a)^5 - sin(a)^7 - sin(a)^9 - sin(a)^11 - sin(a)))

Unión de expresiones racionales [src]

       26      /       26   \                  
1 - cos  (a) + \1 - sin  (a)/*cot(8*a)*tan(8*a)
-----------------------------------------------
                         26                    
                  1 - sin  (a)

\frac{\left(1 - \sin^{26}{\left(a \right)}\right) \tan{\left(8 a \right)} \cot{\left(8 a \right)} - \cos^{26}{\left(a \right)} + 1}{1 - \sin^{26}{\left(a \right)}}

(1 - cos(a)^26 + (1 - sin(a)^26)*cot(8*a)*tan(8*a))/(1 - sin(a)^26)

Abrimos la expresión [src]

                    26                                                                                                                                                                                                               3                                                                                                                                                                                                                                                                                                                                                                                                             7                                                                                                                                                                                                                                                                                                                                                                                     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                                                                                                                                                                                                                           2       5                                                                                                                                                                                                                                                                                                                                                                                                      6       5                                                                                                                                                                                                                                                                                                                                                                                                     4       7                                                                                                                                                                                                                                                                                                                                                                                                       2                                                                                                                                                                                                                                                                                                                                                                                                              6                                                                                                                                                                                                                                                                                                                                                                                                             8       3                                                                                                                                                                                                                                                                                                                                                                                                     8       7                                                                                                                                                                                                                                                                                                                                                                                                       8                                                                                                                                                                                                                                                                                                                                                                                                              8       5                                                                                                                                                                                                                                                                                                                                                                                                      2       7                                                                                                                                                                                                                                                                                                                                                                                                      6       7                                                                                                                                                                                                                                                                                                                                                                                                       4                                                                                                                                                                                                                                                                                                                                                                                                              2       3                                                                                                                                                                                                                                                                                                                                                                                                      6       3                                                                                                                                                                                                                                                                                                                                                                                                      4       5                                                                                                                                                                                               
     1           cos  (a)                                                                                                                                                                                                      56*tan (a)                                                                                                                                                                                                                                                                                                                                                                                                     8*tan (a)                                                                                                                                                                                                                                                                                                                                                                                                       8*tan(a)                                                                                                                                                                                                                                                                                                                                                                                                      56*tan (a)                                                                                                                                                                                                                                                                                                                                                                                                3920*cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                           1568*cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                           1568*cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                           560*cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                             224*cot (a)*tan(a)                                                                                                                                                                                                                                                                                                                                                                                             224*cot (a)*tan(a)                                                                                                                                                                                                                                                                                                                                                                                             56*cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                             8*cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                               8*cot (a)*tan(a)                                                                                                                                                                                                                                                                                                                                                                                              56*cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                            224*cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                            224*cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                             560*cot (a)*tan(a)                                                                                                                                                                                                                                                                                                                                                                                            1568*cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                           1568*cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                           3920*cot (a)*tan (a)                                                                                                                                                                                       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       26             26              5                      7            3              5       4              3       2              3       6             4                    7       2             7       6            5       8           8                  7       8            3       8             2                    6                    7       4              5       2              5       6              3       4              5                      7            3              5       4              3       2              3       6             4                    7       2             7       6            5       8           8                  7       8            3       8             2                    6                    7       4              5       2              5       6              3       4              5                      7            3              5       4              3       2              3       6             4                    7       2             7       6            5       8           8                  7       8            3       8             2                    6                    7       4              5       2              5       6              3       4              5                      7            3              5       4              3       2              3       6             4                    7       2             7       6            5       8           8                  7       8            3       8             2                    6                    7       4              5       2              5       6              3       4              5                      7            3              5       4              3       2              3       6             4                    7       2             7       6            5       8           8                  7       8            3       8             2                    6                    7       4              5       2              5       6              3       4              5                      7            3              5       4              3       2              3       6             4                    7       2             7       6            5       8           8                  7       8            3       8             2                    6                    7       4              5       2              5       6              3       4              5                      7            3              5       4              3       2              3       6             4                    7       2             7       6            5       8           8                  7       8            3       8             2                    6                    7       4              5       2              5       6              3       4              5                      7            3              5       4              3       2              3       6             4                    7       2             7       6            5       8           8                  7       8            3       8             2                    6                    7       4              5       2              5       6              3       4              5                      7            3              5       4              3       2              3       6             4                    7       2             7       6            5       8           8                  7       8            3       8             2                    6                    7       4              5       2              5       6              3       4              5                      7            3              5       4              3       2              3       6             4                    7       2             7       6            5       8           8                  7       8            3       8             2                    6                    7       4              5       2              5       6              3       4              5                      7            3              5       4              3       2              3       6             4                    7       2             7       6            5       8           8                  7       8            3       8             2                    6                    7       4              5       2              5       6              3       4              5                      7            3              5       4              3       2              3       6             4                    7       2             7       6            5       8           8                  7       8            3       8             2                    6                    7       4              5       2              5       6              3       4              5                      7            3              5       4              3       2              3       6             4                    7       2             7       6            5       8           8                  7       8            3       8             2                    6                    7       4              5       2              5       6              3       4              5                      7            3              5       4              3       2              3       6             4                    7       2             7       6            5       8           8                  7       8            3       8             2                    6                    7       4              5       2              5       6              3       4              5                      7            3              5       4              3       2              3       6             4                    7       2             7       6            5       8           8                  7       8            3       8             2                    6                    7       4              5       2              5       6              3       4              5                      7            3              5       4              3       2              3       6             4                    7       2             7       6            5       8           8                  7       8            3       8             2                    6                    7       4              5       2              5       6              3       4              5                      7            3              5       4              3       2              3       6             4                    7       2             7       6            5       8           8                  7       8            3       8             2                    6                    7       4              5       2              5       6              3       4              5                      7            3              5       4              3       2              3       6             4                    7       2             7       6            5       8           8                  7       8            3       8             2                    6                    7       4              5       2              5       6              3       4              5                      7            3              5       4              3       2              3       6             4                    7       2             7       6            5       8           8                  7       8            3       8             2                    6                    7       4              5       2              5       6              3       4              5                      7            3              5       4              3       2              3       6             4                    7       2             7       6            5       8           8                  7       8            3       8             2                    6                    7       4              5       2              5       6              3       4   
1 - sin  (a)   1 - sin  (a)   - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a)   - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a)   - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a)   - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a)   - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a)   - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a)   - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a)   - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a)   - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a)   - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a)   - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a)   - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a)   - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a)   - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a)   - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a)   - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a)   - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a)   - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a)   - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a)   - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a)

- \frac{8 \tan^{7}{\left(a \right)} \cot^{8}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} + \frac{224 \tan^{7}{\left(a \right)} \cot^{6}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} - \frac{560 \tan^{7}{\left(a \right)} \cot^{4}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} + \frac{224 \tan^{7}{\left(a \right)} \cot^{2}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} - \frac{8 \tan^{7}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} + \frac{56 \tan^{5}{\left(a \right)} \cot^{8}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} - \frac{1568 \tan^{5}{\left(a \right)} \cot^{6}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} + \frac{3920 \tan^{5}{\left(a \right)} \cot^{4}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} - \frac{1568 \tan^{5}{\left(a \right)} \cot^{2}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} + \frac{56 \tan^{5}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} - \frac{56 \tan^{3}{\left(a \right)} \cot^{8}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} + \frac{1568 \tan^{3}{\left(a \right)} \cot^{6}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} - \frac{3920 \tan^{3}{\left(a \right)} \cot^{4}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} + \frac{1568 \tan^{3}{\left(a \right)} \cot^{2}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} - \frac{56 \tan^{3}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} + \frac{8 \tan{\left(a \right)} \cot^{8}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} - \frac{224 \tan{\left(a \right)} \cot^{6}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} + \frac{560 \tan{\left(a \right)} \cot^{4}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} - \frac{224 \tan{\left(a \right)} \cot^{2}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} + \frac{8 \tan{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} - \frac{\cos^{26}{\left(a \right)}}{1 - \sin^{26}{\left(a \right)}} + \frac{1}{1 - \sin^{26}{\left(a \right)}}

1/(1 - sin(a)^26) - cos(a)^26/(1 - sin(a)^26) - 56*tan(a)^3/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) - 8*tan(a)^7/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) + 8*tan(a)/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) + 56*tan(a)^5/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) - 3920*cot(a)^4*tan(a)^3/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) - 1568*cot(a)^2*tan(a)^5/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) - 1568*cot(a)^6*tan(a)^5/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) - 560*cot(a)^4*tan(a)^7/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) - 224*cot(a)^2*tan(a)/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) - 224*cot(a)^6*tan(a)/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) - 56*cot(a)^8*tan(a)^3/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) - 8*cot(a)^8*tan(a)^7/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) + 8*cot(a)^8*tan(a)/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) + 56*cot(a)^8*tan(a)^5/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) + 224*cot(a)^2*tan(a)^7/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) + 224*cot(a)^6*tan(a)^7/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) + 560*cot(a)^4*tan(a)/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) + 1568*cot(a)^2*tan(a)^3/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) + 1568*cot(a)^6*tan(a)^3/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) + 3920*cot(a)^4*tan(a)^5/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4)

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¿Cómo vas a descomponer esta tg8a*ctg8a-(cos^26a-1)/(1-sin^26a) expresión en fracciones?

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