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¿cómo vas a descomponer esta expresión en fracciones?:
(z^2-4*z+16)/(16*z^2-1)*(4*z^2+z)/(z^3+64)-(z+4)/(4*z^2-z)/7/(z^2+4*z)-(20*z+13)/(7-28*z)
y/(y-3)+3/(3-y)
((z^2-z)/(z^2-9))^-1/((z^2-3*z)/(z-1))
(a^(7*a))^2/(-a)^15
Factorizar el polinomio:
y^x*y^3-y-1+y^x*y
y^8-1
y^4+y^3
y^3-x*y^2+y-x
Descomponer al cuadrado:
y^4-8*y^2-9
-y^4-8*y^2+7
-y^4+8*y^2+3
y^4-9*y^2+15
Expresiones idénticas
tg(8a)*ctg(8a)-(cos^ dos *6a- uno)/(uno -sin^ dos (6a))
tg(8a) multiplicar por ctg(8a) menos ( coseno de al cuadrado multiplicar por 6a menos 1) dividir por (1 menos seno de al cuadrado (6a))
tg(8a) multiplicar por ctg(8a) menos ( coseno de en el grado dos multiplicar por 6a menos uno) dividir por (uno menos seno de en el grado dos (6a))
tg(8a)*ctg(8a)-(cos2*6a-1)/(1-sin2(6a))
tg8a*ctg8a-cos2*6a-1/1-sin26a
tg(8a)*ctg(8a)-(cos²*6a-1)/(1-sin²(6a))
tg(8a)*ctg(8a)-(cos en el grado 2*6a-1)/(1-sin en el grado 2(6a))
tg(8a)ctg(8a)-(cos^26a-1)/(1-sin^2(6a))
tg(8a)ctg(8a)-(cos26a-1)/(1-sin2(6a))
tg8actg8a-cos26a-1/1-sin26a
tg8actg8a-cos^26a-1/1-sin^26a
tg(8a)*ctg(8a)-(cos^2*6a-1) dividir por (1-sin^2(6a))
Expresiones semejantes
tg(8a)*ctg(8a)+(cos^2*6a-1)/(1-sin^2(6a))
tg(8a)*ctg(8a)-(cos^2*6a+1)/(1-sin^2(6a))
tg(8a)*ctg(8a)-(cos^2*6a-1)/(1+sin^2(6a))
Expresiones con funciones
tg
tg(a)cos(a)/(1+ctg^2(a))
tg(-a)cos(-a)/(1+ctg^2(-a))
tg(9a)*ctg(9a)-(sin^2(6a)-1)/(1-cos^2(6a))
tg(7/(sqrt3(n^4+2)))
tg2α*ctg2α-(1-sin^2*5α)/(cos^2*5α-1)
Coseno cos
cos(2*t)*t/(cos(t)+sin(t))-cos(t)
cos(x)/(1+cos(x))+sin(x)^2/(1+cos(x))^2
cos(a+b)/((cos(a)*sin(b)))
cos(3п/2+а)1/(a*x-1)-1/(a*x+1)
cos(x)/(x^2+3)-2*x*sin(x)/(x^2+3)^2
Seno sin
sin(x/23)/529-21870*sin(27*x)/(1+100*x^2)-19683*atan(10*x)*cos(27*x)-2000*sin(27*x)/(1+100*x^2)^2-162000*x*cos(27*x)/(1+100*x^2)^2+800000*x^2*sin(27*x)/(1+100*x^2)^3
sin(3*pi/2+a)/(3*cos(pi-a))еслиa=2*pi/3
sin(2*a)/((2*tg(a)))
sin(7*n/(2-a))*(-7)
sin(6*pi*x)/(12*pi)+sin(8*pi*x)/(16*pi)

Simplificación de expresiones/ Descomposición en fracciones simples/ tg(8a)*ctg(8a)-(cos^2*6a-1)/(1-sin^2(6a))

¿Cómo vas a descomponer esta tg(8a)ctg(8a)-(cos^26a-1)/(1-sin^2(6a)) expresión en fracciones?

Solución

Ha introducido [src]

                       2         
                    cos (6)*a - 1
tan(8*a)*cot(8*a) - -------------
                           2     
                    1 - sin (6*a)

\tan{\left(8 a \right)} \cot{\left(8 a \right)} - \frac{a \cos^{2}{\left(6 \right)} - 1}{1 - \sin^{2}{\left(6 a \right)}}

tan(8*a)*cot(8*a) - (cos(6)^2*a - 1)/(1 - sin(6*a)^2)

Simplificación general [src]

  3   cos(12*a)        2   
- - - --------- + a*cos (6)
  2       2                
---------------------------
               2           
       -1 + sin (6*a)

\frac{a \cos^{2}{\left(6 \right)} - \frac{\cos{\left(12 a \right)}}{2} - \frac{3}{2}}{\sin^{2}{\left(6 a \right)} - 1}

(-3/2 - cos(12*a)/2 + a*cos(6)^2)/(-1 + sin(6*a)^2)

Denominador racional [src]

         2      /       2     \                  
1 - a*cos (6) + \1 - sin (6*a)/*cot(8*a)*tan(8*a)
-------------------------------------------------
                         2                       
                  1 - sin (6*a)

\frac{- a \cos^{2}{\left(6 \right)} + \left(1 - \sin^{2}{\left(6 a \right)}\right) \tan{\left(8 a \right)} \cot{\left(8 a \right)} + 1}{1 - \sin^{2}{\left(6 a \right)}}

(1 - a*cos(6)^2 + (1 - sin(6*a)^2)*cot(8*a)*tan(8*a))/(1 - sin(6*a)^2)

Respuesta numérica [src]

cot(8*a)*tan(8*a) - (-1.0 + 0.921926979366246*a)/(1.0 - sin(6*a)^2)

cot(8*a)*tan(8*a) - (-1.0 + 0.921926979366246*a)/(1.0 - sin(6*a)^2)

Unión de expresiones racionales [src]

         2      /       2     \                  
1 - a*cos (6) + \1 - sin (6*a)/*cot(8*a)*tan(8*a)
-------------------------------------------------
                         2                       
                  1 - sin (6*a)

\frac{- a \cos^{2}{\left(6 \right)} + \left(1 - \sin^{2}{\left(6 a \right)}\right) \tan{\left(8 a \right)} \cot{\left(8 a \right)} + 1}{1 - \sin^{2}{\left(6 a \right)}}

(1 - a*cos(6)^2 + (1 - sin(6*a)^2)*cot(8*a)*tan(8*a))/(1 - sin(6*a)^2)

Denominador común [src]

          2                       
-1 + a*cos (6)                    
-------------- + cot(8*a)*tan(8*a)
        2                         
-1 + sin (6*a)

\frac{a \cos^{2}{\left(6 \right)} - 1}{\sin^{2}{\left(6 a \right)} - 1} + \tan{\left(8 a \right)} \cot{\left(8 a \right)}

(-1 + a*cos(6)^2)/(-1 + sin(6*a)^2) + cot(8*a)*tan(8*a)

Abrimos la expresión [src]

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                                                                                                                                                                                                        12                                                                                                                                                                                                                                                           4       7                                                                                                                                                                                                                                                              4                                                                                                                                                                                                                                                             2                                                                                                                                                                                                                                                                                                                                                                                                              6                                                                                                                                                                                                                                                                                                                                                                                                             8       3                                                                                                                                                                                                                                                                                                                                                                                                     8       7                                                                                                                                                                                                                                                                                                                                                                                                       8                                                                                                                                                                                                                                                                      2                                                                                                                                                                                                                                                            8       5                                                                                                                                                                                                                                                                                                                                                                                                      2       7                                                                                                                                                                                                                                                                                                                                                                                                      6       7                                                                                                                                                                                                                                                                                                                                                                                                       4                                                                                                                                                                                                                                                                                                                                                                                                              2       3                                                                                                                                                                                                                                                                                                                                                                                                      6       3                                                                                                                                                                                                                                                              6                                                                                                                   10                                                                                                                                                                                                                                                            4       5                                                                                                                                                                                               
                                                        1                                                                                                                    a                                                                                                                                                                                                                                                             56*tan (a)                                                                                                                                                                                                                                                                                                                                                                                                     8*tan (a)                                                                                                                                                                                                                                                                                                                                                                                                       8*tan(a)                                                                                                                                                                                                                                                                                                                                                                                                      56*tan (a)                                                                                                                                                                                                                                                                                                                                                                                                3920*cot (a)*tan (a)                                                                                                                                                                                                                                                 3456*a*cos (1)                                                                                                                                                                                                                                                 1568*cot (a)*tan (a)                                                                                                                                                                                                                                                                                                                                                                                           1568*cot (a)*tan (a)                                                                                                                                                                                                                                                1024*a*cos  (1)                                                                                                                                                                                                                                                 560*cot (a)*tan (a)                                                                                                                                                                                                                                                  420*a*cos (1)                                                                                                                                                                                                                                                   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)                                                                                                                                                                                                                                                    36*a*cos (1)                                                                                                                                                                                                                                                   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)                                                                                                                                                                                                                                                 1792*a*cos (1)                                                                                                      3072*a*cos  (1)                                                                                                                                                                                                                                                 3920*cot (a)*tan (a)                                                                                                                                                                                            
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            2       6              2       10            2       2             2       4              2       8                  2       6              2       10            2       2             2       4              2       8              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                  2       6              2       10            2       2             2       4              2       8              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                  2       6              2       10            2       2             2       4              2       8              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                  2       6              2       10            2       2             2       4              2       8              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                  2       6              2       10            2       2             2       4              2       8              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                  2       6              2       10            2       2             2       4              2       8                  2       6              2       10            2       2             2       4              2       8              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 - 1408*cos (a)*sin (a) - 1024*cos (a)*sin  (a) - 36*cos (a)*sin (a) + 384*cos (a)*sin (a) + 2048*cos (a)*sin (a)   1 - 1408*cos (a)*sin (a) - 1024*cos (a)*sin  (a) - 36*cos (a)*sin (a) + 384*cos (a)*sin (a) + 2048*cos (a)*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)   1 - 1408*cos (a)*sin (a) - 1024*cos (a)*sin  (a) - 36*cos (a)*sin (a) + 384*cos (a)*sin (a) + 2048*cos (a)*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)   1 - 1408*cos (a)*sin (a) - 1024*cos (a)*sin  (a) - 36*cos (a)*sin (a) + 384*cos (a)*sin (a) + 2048*cos (a)*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)   1 - 1408*cos (a)*sin (a) - 1024*cos (a)*sin  (a) - 36*cos (a)*sin (a) + 384*cos (a)*sin (a) + 2048*cos (a)*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)   1 - 1408*cos (a)*sin (a) - 1024*cos (a)*sin  (a) - 36*cos (a)*sin (a) + 384*cos (a)*sin (a) + 2048*cos (a)*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)   1 - 1408*cos (a)*sin (a) - 1024*cos (a)*sin  (a) - 36*cos (a)*sin (a) + 384*cos (a)*sin (a) + 2048*cos (a)*sin (a)   1 - 1408*cos (a)*sin (a) - 1024*cos (a)*sin  (a) - 36*cos (a)*sin (a) + 384*cos (a)*sin (a) + 2048*cos (a)*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)

- \frac{420 a \cos^{4}{\left(1 \right)}}{- 1024 \sin^{10}{\left(a \right)} \cos^{2}{\left(a \right)} + 2048 \sin^{8}{\left(a \right)} \cos^{2}{\left(a \right)} - 1408 \sin^{6}{\left(a \right)} \cos^{2}{\left(a \right)} + 384 \sin^{4}{\left(a \right)} \cos^{2}{\left(a \right)} - 36 \sin^{2}{\left(a \right)} \cos^{2}{\left(a \right)} + 1} - \frac{3456 a \cos^{8}{\left(1 \right)}}{- 1024 \sin^{10}{\left(a \right)} \cos^{2}{\left(a \right)} + 2048 \sin^{8}{\left(a \right)} \cos^{2}{\left(a \right)} - 1408 \sin^{6}{\left(a \right)} \cos^{2}{\left(a \right)} + 384 \sin^{4}{\left(a \right)} \cos^{2}{\left(a \right)} - 36 \sin^{2}{\left(a \right)} \cos^{2}{\left(a \right)} + 1} - \frac{a}{- 1024 \sin^{10}{\left(a \right)} \cos^{2}{\left(a \right)} + 2048 \sin^{8}{\left(a \right)} \cos^{2}{\left(a \right)} - 1408 \sin^{6}{\left(a \right)} \cos^{2}{\left(a \right)} + 384 \sin^{4}{\left(a \right)} \cos^{2}{\left(a \right)} - 36 \sin^{2}{\left(a \right)} \cos^{2}{\left(a \right)} + 1} - \frac{1024 a \cos^{12}{\left(1 \right)}}{- 1024 \sin^{10}{\left(a \right)} \cos^{2}{\left(a \right)} + 2048 \sin^{8}{\left(a \right)} \cos^{2}{\left(a \right)} - 1408 \sin^{6}{\left(a \right)} \cos^{2}{\left(a \right)} + 384 \sin^{4}{\left(a \right)} \cos^{2}{\left(a \right)} - 36 \sin^{2}{\left(a \right)} \cos^{2}{\left(a \right)} + 1} + \frac{3072 a \cos^{10}{\left(1 \right)}}{- 1024 \sin^{10}{\left(a \right)} \cos^{2}{\left(a \right)} + 2048 \sin^{8}{\left(a \right)} \cos^{2}{\left(a \right)} - 1408 \sin^{6}{\left(a \right)} \cos^{2}{\left(a \right)} + 384 \sin^{4}{\left(a \right)} \cos^{2}{\left(a \right)} - 36 \sin^{2}{\left(a \right)} \cos^{2}{\left(a \right)} + 1} + \frac{36 a \cos^{2}{\left(1 \right)}}{- 1024 \sin^{10}{\left(a \right)} \cos^{2}{\left(a \right)} + 2048 \sin^{8}{\left(a \right)} \cos^{2}{\left(a \right)} - 1408 \sin^{6}{\left(a \right)} \cos^{2}{\left(a \right)} + 384 \sin^{4}{\left(a \right)} \cos^{2}{\left(a \right)} - 36 \sin^{2}{\left(a \right)} \cos^{2}{\left(a \right)} + 1} + \frac{1792 a \cos^{6}{\left(1 \right)}}{- 1024 \sin^{10}{\left(a \right)} \cos^{2}{\left(a \right)} + 2048 \sin^{8}{\left(a \right)} \cos^{2}{\left(a \right)} - 1408 \sin^{6}{\left(a \right)} \cos^{2}{\left(a \right)} + 384 \sin^{4}{\left(a \right)} \cos^{2}{\left(a \right)} - 36 \sin^{2}{\left(a \right)} \cos^{2}{\left(a \right)} + 1} - \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{1}{- 1024 \sin^{10}{\left(a \right)} \cos^{2}{\left(a \right)} + 2048 \sin^{8}{\left(a \right)} \cos^{2}{\left(a \right)} - 1408 \sin^{6}{\left(a \right)} \cos^{2}{\left(a \right)} + 384 \sin^{4}{\left(a \right)} \cos^{2}{\left(a \right)} - 36 \sin^{2}{\left(a \right)} \cos^{2}{\left(a \right)} + 1}

1/(1 - 1408*cos(a)^2*sin(a)^6 - 1024*cos(a)^2*sin(a)^10 - 36*cos(a)^2*sin(a)^2 + 384*cos(a)^2*sin(a)^4 + 2048*cos(a)^2*sin(a)^8) - a/(1 - 1408*cos(a)^2*sin(a)^6 - 1024*cos(a)^2*sin(a)^10 - 36*cos(a)^2*sin(a)^2 + 384*cos(a)^2*sin(a)^4 + 2048*cos(a)^2*sin(a)^8) - 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) - 3456*a*cos(1)^8/(1 - 1408*cos(a)^2*sin(a)^6 - 1024*cos(a)^2*sin(a)^10 - 36*cos(a)^2*sin(a)^2 + 384*cos(a)^2*sin(a)^4 + 2048*cos(a)^2*sin(a)^8) - 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) - 1024*a*cos(1)^12/(1 - 1408*cos(a)^2*sin(a)^6 - 1024*cos(a)^2*sin(a)^10 - 36*cos(a)^2*sin(a)^2 + 384*cos(a)^2*sin(a)^4 + 2048*cos(a)^2*sin(a)^8) - 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) - 420*a*cos(1)^4/(1 - 1408*cos(a)^2*sin(a)^6 - 1024*cos(a)^2*sin(a)^10 - 36*cos(a)^2*sin(a)^2 + 384*cos(a)^2*sin(a)^4 + 2048*cos(a)^2*sin(a)^8) - 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) + 36*a*cos(1)^2/(1 - 1408*cos(a)^2*sin(a)^6 - 1024*cos(a)^2*sin(a)^10 - 36*cos(a)^2*sin(a)^2 + 384*cos(a)^2*sin(a)^4 + 2048*cos(a)^2*sin(a)^8) + 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) + 1792*a*cos(1)^6/(1 - 1408*cos(a)^2*sin(a)^6 - 1024*cos(a)^2*sin(a)^10 - 36*cos(a)^2*sin(a)^2 + 384*cos(a)^2*sin(a)^4 + 2048*cos(a)^2*sin(a)^8) + 3072*a*cos(1)^10/(1 - 1408*cos(a)^2*sin(a)^6 - 1024*cos(a)^2*sin(a)^10 - 36*cos(a)^2*sin(a)^2 + 384*cos(a)^2*sin(a)^4 + 2048*cos(a)^2*sin(a)^8) + 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)

Potencias [src]

         2                       
1 - a*cos (6)                    
------------- + cot(8*a)*tan(8*a)
       2                         
1 - sin (6*a)

\tan{\left(8 a \right)} \cot{\left(8 a \right)} + \frac{- a \cos^{2}{\left(6 \right)} + 1}{1 - \sin^{2}{\left(6 a \right)}}

                         2                                   
           / -6*I    6*I\                                    
           |e       e   |                                    
    -1 + a*|----- + ----|       /   8*I*a    -8*I*a\         
           \  2      2  /     I*\- e      + e      /*cot(8*a)
- ------------------------- + -------------------------------
                          2            -8*I*a    8*I*a       
      /   -6*I*a    6*I*a\            e       + e            
      \- e       + e     /                                   
  1 + ---------------------                                  
                4

- \frac{a \left(\frac{e^{6 i}}{2} + \frac{e^{- 6 i}}{2}\right)^{2} - 1}{\frac{\left(e^{6 i a} - e^{- 6 i a}\right)^{2}}{4} + 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}}

-(-1 + a*(exp(-6*i)/2 + exp(6*i)/2)^2)/(1 + (-exp(-6*i*a) + exp(6*i*a))^2/4) + i*(-exp(8*i*a) + exp(-8*i*a))*cot(8*a)/(exp(-8*i*a) + exp(8*i*a))

Combinatoria [src]

          2                             2                       
-1 + a*cos (6) - cot(8*a)*tan(8*a) + sin (6*a)*cot(8*a)*tan(8*a)
----------------------------------------------------------------
                 (1 + sin(6*a))*(-1 + sin(6*a))

\frac{a \cos^{2}{\left(6 \right)} + \sin^{2}{\left(6 a \right)} \tan{\left(8 a \right)} \cot{\left(8 a \right)} - \tan{\left(8 a \right)} \cot{\left(8 a \right)} - 1}{\left(\sin{\left(6 a \right)} - 1\right) \left(\sin{\left(6 a \right)} + 1\right)}

(-1 + a*cos(6)^2 - cot(8*a)*tan(8*a) + sin(6*a)^2*cot(8*a)*tan(8*a))/((1 + sin(6*a))*(-1 + sin(6*a)))

Parte trigonométrica [src]

              2   
    -1 + a*cos (6)
1 - --------------
           2      
    1 - sin (6*a)

1 - \frac{a \cos^{2}{\left(6 \right)} - 1}{1 - \sin^{2}{\left(6 a \right)}}

      /       /       1   \\
      |     a*|1 + -------||
      |       \    sec(12)/|
    2*|-1 + ---------------|
      \            2       /
1 - ------------------------
                 1          
         1 + ---------      
             sec(12*a)

1 - \frac{2 \left(\frac{a \left(\frac{1}{\sec{\left(12 \right)}} + 1\right)}{2} - 1\right)}{1 + \frac{1}{\sec{\left(12 a \right)}}}

      /       /       /     pi\\\
      |     a*|1 + sin|12 + --|||
      |       \       \     2 //|
    2*|-1 + --------------------|
      \              2          /
1 - -----------------------------
                 /pi       \     
          1 + sin|-- + 12*a|     
                 \2        /

- \frac{2 \left(\frac{a \left(\sin{\left(\frac{\pi}{2} + 12 \right)} + 1\right)}{2} - 1\right)}{\sin{\left(12 a + \frac{\pi}{2} \right)} + 1} + 1

      /          2   \
    2*\-1 + a*cos (6)/
1 - ------------------
      1 + cos(12*a)

- \frac{2 \left(a \cos^{2}{\left(6 \right)} - 1\right)}{\cos{\left(12 a \right)} + 1} + 1

               a      
    -1 + -------------
            2/     pi\
         csc |-6 + --|
             \     2 /
1 - ------------------
              1       
      1 - ---------   
             2        
          csc (6*a)

1 - \frac{\frac{a}{\csc^{2}{\left(-6 + \frac{\pi}{2} \right)}} - 1}{1 - \frac{1}{\csc^{2}{\left(6 a \right)}}}

      /                     2\
      |       /        2   \ |
      |     a*\-1 + cot (3)/ |
    2*|-1 + -----------------|
      |                    2 |
      |       /       2   \  |
      \       \1 + cot (3)/  /
1 - --------------------------
                    2         
            -1 + cot (6*a)    
        1 + --------------    
                   2          
            1 + cot (6*a)

1 - \frac{2 \left(\frac{a \left(-1 + \cot^{2}{\left(3 \right)}\right)^{2}}{\left(1 + \cot^{2}{\left(3 \right)}\right)^{2}} - 1\right)}{\frac{\cot^{2}{\left(6 a \right)} - 1}{\cot^{2}{\left(6 a \right)} + 1} + 1}

      /       /           2   \\
      |       |    1 - tan (6)||
      |     a*|1 + -----------||
      |       |           2   ||
      |       \    1 + tan (6)/|
    2*|-1 + -------------------|
      \              2         /
1 - ----------------------------
                    2           
             1 - tan (6*a)      
         1 + -------------      
                    2           
             1 + tan (6*a)

- \frac{2 \left(\frac{a \left(\frac{1 - \tan^{2}{\left(6 \right)}}{\tan^{2}{\left(6 \right)} + 1} + 1\right)}{2} - 1\right)}{\frac{1 - \tan^{2}{\left(6 a \right)}}{\tan^{2}{\left(6 a \right)} + 1} + 1} + 1

                        2
           /       2   \ 
         a*\1 - tan (3)/ 
    -1 + ----------------
                       2 
          /       2   \  
          \1 + tan (3)/  
1 - ---------------------
                2        
           4*tan (3*a)   
     1 - ----------------
                        2
         /       2     \ 
         \1 + tan (3*a)/

1 - \frac{\frac{a \left(1 - \tan^{2}{\left(3 \right)}\right)^{2}}{\left(\tan^{2}{\left(3 \right)} + 1\right)^{2}} - 1}{1 - \frac{4 \tan^{2}{\left(3 a \right)}}{\left(\tan^{2}{\left(3 a \right)} + 1\right)^{2}}}

                2     
      -1 + a*cos (6)  
1 - ------------------
           2/      pi\
    1 - cos |6*a - --|
            \      2 /

1 - \frac{a \cos^{2}{\left(6 \right)} - 1}{1 - \cos^{2}{\left(6 a - \frac{\pi}{2} \right)}}

      /       /          1      \\
      |     a*|1 + -------------||
      |       |       /      pi\||
      |       |    csc|-12 + --|||
      |       \       \      2 //|
    2*|-1 + ---------------------|
      \               2          /
1 - ------------------------------
                    1             
          1 + --------------      
                 /pi       \      
              csc|-- - 12*a|      
                 \2        /

1 - \frac{2 \left(\frac{a \left(\frac{1}{\csc{\left(-12 + \frac{\pi}{2} \right)}} + 1\right)}{2} - 1\right)}{1 + \frac{1}{\csc{\left(- 12 a + \frac{\pi}{2} \right)}}}

               a      
       -1 + -------   
               2      
            sec (6)   
1 - ------------------
              1       
    1 - --------------
           2/      pi\
        sec |6*a - --|
            \      2 /

1 - \frac{\frac{a}{\sec^{2}{\left(6 \right)}} - 1}{1 - \frac{1}{\sec^{2}{\left(6 a - \frac{\pi}{2} \right)}}}

      /          2/    pi\\
    2*|-1 + a*sin |6 + --||
      \           \    2 //
1 - -----------------------
              /pi       \  
       1 + sin|-- + 12*a|  
              \2        /

- \frac{2 \left(a \sin^{2}{\left(\frac{\pi}{2} + 6 \right)} - 1\right)}{\sin{\left(12 a + \frac{\pi}{2} \right)} + 1} + 1

             a   
     -1 + -------
             2   
          sec (6)
1 - -------------
            1    
    1 - ---------
           2     
        csc (6*a)

1 - \frac{\frac{a}{\sec^{2}{\left(6 \right)}} - 1}{1 - \frac{1}{\csc^{2}{\left(6 a \right)}}}

      /     a*(1 + cos(12))\
    2*|-1 + ---------------|
      \            2       /
1 - ------------------------
         1 + cos(12*a)

- \frac{2 \left(\frac{a \left(\cos{\left(12 \right)} + 1\right)}{2} - 1\right)}{\cos{\left(12 a \right)} + 1} + 1

      /        a   \
    2*|-1 + -------|
      |        2   |
      \     sec (6)/
1 - ----------------
             1      
     1 + ---------  
         sec(12*a)

1 - \frac{2 \left(\frac{a}{\sec^{2}{\left(6 \right)}} - 1\right)}{1 + \frac{1}{\sec{\left(12 a \right)}}}

                         2
           /        2   \ 
         a*\-1 + cot (3)/ 
    -1 + -----------------
                        2 
           /       2   \  
           \1 + cot (3)/  
1 - ----------------------
                2         
           4*cot (3*a)    
     1 - ---------------- 
                        2 
         /       2     \  
         \1 + cot (3*a)/

1 - \frac{\frac{a \left(-1 + \cot^{2}{\left(3 \right)}\right)^{2}}{\left(1 + \cot^{2}{\left(3 \right)}\right)^{2}} - 1}{1 - \frac{4 \cot^{2}{\left(3 a \right)}}{\left(\cot^{2}{\left(3 a \right)} + 1\right)^{2}}}

      /                    2\
      |       /       2   \ |
      |     a*\1 - tan (3)/ |
    2*|-1 + ----------------|
      |                   2 |
      |      /       2   \  |
      \      \1 + tan (3)/  /
1 - -------------------------
                   2         
            1 - tan (6*a)    
        1 + -------------    
                   2         
            1 + tan (6*a)

1 - \frac{2 \left(\frac{a \left(1 - \tan^{2}{\left(3 \right)}\right)^{2}}{\left(\tan^{2}{\left(3 \right)} + 1\right)^{2}} - 1\right)}{\frac{1 - \tan^{2}{\left(6 a \right)}}{\tan^{2}{\left(6 a \right)} + 1} + 1}

      /           a      \
    2*|-1 + -------------|
      |        2/     pi\|
      |     csc |-6 + --||
      \         \     2 //
1 - ----------------------
                1         
      1 + --------------  
             /pi       \  
          csc|-- - 12*a|  
             \2        /

1 - \frac{2 \left(\frac{a}{\csc^{2}{\left(-6 + \frac{\pi}{2} \right)}} - 1\right)}{1 + \frac{1}{\csc{\left(- 12 a + \frac{\pi}{2} \right)}}}

              2/    pi\
    -1 + a*sin |6 + --|
               \    2 /
1 - -------------------
              2        
       1 - sin (6*a)

1 - \frac{a \sin^{2}{\left(\frac{\pi}{2} + 6 \right)} - 1}{1 - \sin^{2}{\left(6 a \right)}}

      /       /            2   \\
      |       |    -1 + cot (6)||
      |     a*|1 + ------------||
      |       |           2    ||
      |       \    1 + cot (6) /|
    2*|-1 + --------------------|
      \              2          /
1 - -----------------------------
                      2          
              -1 + cot (6*a)     
          1 + --------------     
                     2           
              1 + cot (6*a)

- \frac{2 \left(\frac{a \left(\frac{-1 + \cot^{2}{\left(6 \right)}}{1 + \cot^{2}{\left(6 \right)}} + 1\right)}{2} - 1\right)}{\frac{\cot^{2}{\left(6 a \right)} - 1}{\cot^{2}{\left(6 a \right)} + 1} + 1} + 1

1 - 2*(-1 + a*(1 + (-1 + cot(6)^2)/(1 + cot(6)^2))/2)/(1 + (-1 + cot(6*a)^2)/(1 + cot(6*a)^2))

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Solución

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