Sr Examen
Otras calculadoras
-
¿Cómo usar?
- ¿cómo vas a descomponer esta expresión en fracciones?:
- c^6*u^6/(c^2)^3
- ((x-3)/(x^3-64)+(x-3)/(x^2+4*x+16))*(2*x^3-128)/(3-x)
- tg(9a)*ctg(9a)-((sin^2(6a)-1)/(1-cos^2(6a)))
- -sqrt(1/(2*x+1))/(2*x+1)
- Factorizar el polinomio:
- x^5-x^3*y^2-x^2*y^3+y^5
- x^2-18^2
- a^3-a^5
- x^4+7*x^3+10*x^2-7*x+1
- Descomponer al cuadrado:
- x^4+x^2-1
- y^2-4*y*q-q^2
- y^4+y^2+4
- x^2-4*x-1
-
Expresiones idénticas
- tg(9a)*ctg(9a)-((sin^ dos (6a)- uno)/(uno -cos^ dos (6a)))
- tg(9a) multiplicar por ctg(9a) menos (( seno de al cuadrado (6a) menos 1) dividir por (1 menos coseno de al cuadrado (6a)))
- tg(9a) multiplicar por ctg(9a) menos (( seno de en el grado dos (6a) menos uno) dividir por (uno menos coseno de en el grado dos (6a)))
- tg(9a)*ctg(9a)-((sin2(6a)-1)/(1-cos2(6a)))
- tg9a*ctg9a-sin26a-1/1-cos26a
- tg(9a)*ctg(9a)-((sin²(6a)-1)/(1-cos²(6a)))
- tg(9a)*ctg(9a)-((sin en el grado 2(6a)-1)/(1-cos en el grado 2(6a)))
- tg(9a)ctg(9a)-((sin^2(6a)-1)/(1-cos^2(6a)))
- tg(9a)ctg(9a)-((sin2(6a)-1)/(1-cos2(6a)))
- tg9actg9a-sin26a-1/1-cos26a
- tg9actg9a-sin^26a-1/1-cos^26a
- tg(9a)*ctg(9a)-((sin^2(6a)-1) dividir por (1-cos^2(6a)))
-
Expresiones semejantes
- tg(9a)*ctg(9a)-((sin^2(6a)+1)/(1-cos^2(6a)))
- tg(9a)*ctg(9a)-((sin^2(6a)-1)/(1+cos^2(6a)))
- tg(9a)*ctg(9a)+((sin^2(6a)-1)/(1-cos^2(6a)))
-
Expresiones con funciones
- tg
- tg(8a)*ctg(8a)-(cos^2*6a-1)/(1-sin^2*6a)
- tg*8*a*ctg*8*a-(cos^2*6*a-1)/(1-sin^2*6*a)
- tg4a*ctg4a-((1-cos^2*9a)/(sin^2*9a-1))
- tgx+(cos^5x-sin^5x)/((1+sinx*cosx)*cos^2x)
- tgx+(cos^3x-sin^3x)/((1+sinx*cosx)*cos^2x)
- ctg
- ctg(x)*((tg(x)+3*ctg(y))/(3*tg(y)+ctg(x)))
- ctg(x)*cos(x)/(sin^2(x))
- ctg(1-cos^2*3*x)/(x^2+5*x)
- ctg(3п/2-а)/(1-tg^2a)
- ctgx*(3tgy+ctgx)/(tgx+3ctgy)
- Seno sin
- sin(3*x)/(3*cos(3*x))
- sin(2*x)/((2*cos(x)))
- sin(2*x)/((3*sin(x)))
- sinh(x)/(sqrt(1-1/cosh(x)^2)*cosh(x)^2)
- sinh(x)/(sqrt(1-1/((cosh(x))^2))*(cosh(x))^2)
- Coseno cos
- cos(90*pi/(360+x))
- cosh(x)/(1+sinh(x)^2)+sinh(x)^2/cosh(x)+cosh(x)*log(cosh(x))
- cos(10*a)/(cos(5*a)-sin(5*a))
- cos(x)/(1+x^2)-atan(x)*sin(x)
- cosh(2*x)^(1/(x^2))*(-2*log(cosh(2*x))/x^3+2*sinh(2*x)/(x^2*cosh(2*x)))
Simplificación de expresiones/
Descomposición en fracciones simples/
tg(9a)*ctg(9a)-((sin^2(6a)-1)/(1-cos^2(6a)))
¿Cómo vas a descomponer esta tg(9a)*ctg(9a)-((sin^2(6a)-1)/(1-cos^2(6a))) expresión en fracciones?
Solución
Ha introducido
[src]
2
sin (6*a) - 1
tan(9*a)*cot(9*a) - -------------
2
1 - cos (6*a)
$$\tan{\left(9 a \right)} \cot{\left(9 a \right)} - \frac{\sin^{2}{\left(6 a \right)} - 1}{1 - \cos^{2}{\left(6 a \right)}}$$
tan(9*a)*cot(9*a) - (sin(6*a)^2 - 1)/(1 - cos(6*a)^2)
Simplificación general
[src]
-2 -------------- -1 + cos(12*a)
$$- \frac{2}{\cos{\left(12 a \right)} - 1}$$
-2/(-1 + cos(12*a))
Unión de expresiones racionales
[src]
2 / 2 \
1 - sin (6*a) + \1 - cos (6*a)/*cot(9*a)*tan(9*a)
-------------------------------------------------
2
1 - cos (6*a)
$$\frac{\left(1 - \cos^{2}{\left(6 a \right)}\right) \tan{\left(9 a \right)} \cot{\left(9 a \right)} - \sin^{2}{\left(6 a \right)} + 1}{1 - \cos^{2}{\left(6 a \right)}}$$
(1 - sin(6*a)^2 + (1 - cos(6*a)^2)*cot(9*a)*tan(9*a))/(1 - cos(6*a)^2)
Denominador racional
[src]
2 / 2 \
1 - sin (6*a) + \1 - cos (6*a)/*cot(9*a)*tan(9*a)
-------------------------------------------------
2
1 - cos (6*a)
$$\frac{\left(1 - \cos^{2}{\left(6 a \right)}\right) \tan{\left(9 a \right)} \cot{\left(9 a \right)} - \sin^{2}{\left(6 a \right)} + 1}{1 - \cos^{2}{\left(6 a \right)}}$$
(1 - sin(6*a)^2 + (1 - cos(6*a)^2)*cot(9*a)*tan(9*a))/(1 - cos(6*a)^2)
Potencias
[src]
2
/ -6*I*a 6*I*a\
\- e + e /
-1 - --------------------- / 9*I*a -9*I*a\
4 I*\- e + e /*cot(9*a)
- -------------------------- + -------------------------------
2 -9*I*a 9*I*a
/ -6*I*a 6*I*a\ e + e
|e e |
1 - |------- + ------|
\ 2 2 /
$$\frac{i \left(- e^{9 i a} + e^{- 9 i a}\right) \cot{\left(9 a \right)}}{e^{9 i a} + e^{- 9 i a}} - \frac{- \frac{\left(e^{6 i a} - e^{- 6 i a}\right)^{2}}{4} - 1}{1 - \left(\frac{e^{6 i a}}{2} + \frac{e^{- 6 i a}}{2}\right)^{2}}$$
2
1 - sin (6*a)
------------- + cot(9*a)*tan(9*a)
2
1 - cos (6*a)
$$\frac{1 - \sin^{2}{\left(6 a \right)}}{1 - \cos^{2}{\left(6 a \right)}} + \tan{\left(9 a \right)} \cot{\left(9 a \right)}$$
(1 - sin(6*a)^2)/(1 - cos(6*a)^2) + cot(9*a)*tan(9*a)
Respuesta numérica
[src]
cot(9*a)*tan(9*a) - (-1.0 + sin(6*a)^2)/(1.0 - cos(6*a)^2)
cot(9*a)*tan(9*a) - (-1.0 + sin(6*a)^2)/(1.0 - cos(6*a)^2)
Abrimos la expresión
[src]
9 9 3 5 5 3 5 7 7 5 2 6 2 10 3 3 7 7 3 9 9 3 2 2 7 9 9 7 9 9 5 9 9 5 2 4 5 5 7 7 2 8 3 7 7 3 3 3 5 5
1 cot (a)*tan (a) 10584*cot (a)*tan (a) 10584*cot (a)*tan (a) 4536*cot (a)*tan (a) 4536*cot (a)*tan (a) 1408*cos (a)*sin (a) 1024*cos (a)*sin (a) 756*cot (a)*tan(a) 756*tan (a)*cot(a) 324*cot (a)*tan(a) 324*tan (a)*cot(a) 84*cot (a)*tan (a) 84*cot (a)*tan (a) 36*cos (a)*sin (a) 36*cot (a)*tan (a) 36*cot (a)*tan (a) 9*cot (a)*tan(a) 9*tan (a)*cot(a) 81*cot(a)*tan(a) 126*cot (a)*tan (a) 126*cot (a)*tan (a) 384*cos (a)*sin (a) 1134*cot (a)*tan(a) 1134*tan (a)*cot(a) 1296*cot (a)*tan (a) 2048*cos (a)*sin (a) 3024*cot (a)*tan (a) 3024*cot (a)*tan (a) 7056*cot (a)*tan (a) 15876*cot (a)*tan (a)
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8 12 4 2 6 10 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 8 12 4 2 6 10 8 12 4 2 6 10 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 8 12 4 2 6 10 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 8 12 4 2 6 10 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 8 12 4 2 6 10 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4 6 6 2 2 8 8 4 4 4 6 6 4 2 4 4 2 6 8 8 6 2 8 8 2 8 8 4 8 8 4 2 2 2 6 6 2 6 6 4 4
- 3456*cos (a) - 1024*cos (a) - 420*cos (a) + 36*cos (a) + 1792*cos (a) + 3072*cos (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) - 3456*cos (a) - 1024*cos (a) - 420*cos (a) + 36*cos (a) + 1792*cos (a) + 3072*cos (a) - 3456*cos (a) - 1024*cos (a) - 420*cos (a) + 36*cos (a) + 1792*cos (a) + 3072*cos (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) - 3456*cos (a) - 1024*cos (a) - 420*cos (a) + 36*cos (a) + 1792*cos (a) + 3072*cos (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) - 3456*cos (a) - 1024*cos (a) - 420*cos (a) + 36*cos (a) + 1792*cos (a) + 3072*cos (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) - 3456*cos (a) - 1024*cos (a) - 420*cos (a) + 36*cos (a) + 1792*cos (a) + 3072*cos (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a) 1 - 84*cot (a) - 84*tan (a) - 36*cot (a) - 36*tan (a) + 9*cot (a) + 9*tan (a) + 126*cot (a) + 126*tan (a) - 10584*cot (a)*tan (a) - 10584*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 4536*cot (a)*tan (a) - 756*cot (a)*tan (a) - 756*cot (a)*tan (a) - 324*cot (a)*tan (a) - 324*cot (a)*tan (a) + 81*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1134*cot (a)*tan (a) + 1296*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 3024*cot (a)*tan (a) + 7056*cot (a)*tan (a) + 15876*cot (a)*tan (a)
$$\frac{\tan^{9}{\left(a \right)} \cot^{9}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{36 \tan^{9}{\left(a \right)} \cot^{7}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{126 \tan^{9}{\left(a \right)} \cot^{5}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{84 \tan^{9}{\left(a \right)} \cot^{3}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{9 \tan^{9}{\left(a \right)} \cot{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{36 \tan^{7}{\left(a \right)} \cot^{9}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{1296 \tan^{7}{\left(a \right)} \cot^{7}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{4536 \tan^{7}{\left(a \right)} \cot^{5}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{3024 \tan^{7}{\left(a \right)} \cot^{3}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{324 \tan^{7}{\left(a \right)} \cot{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{126 \tan^{5}{\left(a \right)} \cot^{9}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{4536 \tan^{5}{\left(a \right)} \cot^{7}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{15876 \tan^{5}{\left(a \right)} \cot^{5}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{10584 \tan^{5}{\left(a \right)} \cot^{3}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{1134 \tan^{5}{\left(a \right)} \cot{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{84 \tan^{3}{\left(a \right)} \cot^{9}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{3024 \tan^{3}{\left(a \right)} \cot^{7}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{10584 \tan^{3}{\left(a \right)} \cot^{5}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{7056 \tan^{3}{\left(a \right)} \cot^{3}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{756 \tan^{3}{\left(a \right)} \cot{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{9 \tan{\left(a \right)} \cot^{9}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{324 \tan{\left(a \right)} \cot^{7}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{1134 \tan{\left(a \right)} \cot^{5}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{756 \tan{\left(a \right)} \cot^{3}{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} + \frac{81 \tan{\left(a \right)} \cot{\left(a \right)}}{81 \tan^{8}{\left(a \right)} \cot^{8}{\left(a \right)} - 756 \tan^{8}{\left(a \right)} \cot^{6}{\left(a \right)} + 1134 \tan^{8}{\left(a \right)} \cot^{4}{\left(a \right)} - 324 \tan^{8}{\left(a \right)} \cot^{2}{\left(a \right)} + 9 \tan^{8}{\left(a \right)} - 756 \tan^{6}{\left(a \right)} \cot^{8}{\left(a \right)} + 7056 \tan^{6}{\left(a \right)} \cot^{6}{\left(a \right)} - 10584 \tan^{6}{\left(a \right)} \cot^{4}{\left(a \right)} + 3024 \tan^{6}{\left(a \right)} \cot^{2}{\left(a \right)} - 84 \tan^{6}{\left(a \right)} + 1134 \tan^{4}{\left(a \right)} \cot^{8}{\left(a \right)} - 10584 \tan^{4}{\left(a \right)} \cot^{6}{\left(a \right)} + 15876 \tan^{4}{\left(a \right)} \cot^{4}{\left(a \right)} - 4536 \tan^{4}{\left(a \right)} \cot^{2}{\left(a \right)} + 126 \tan^{4}{\left(a \right)} - 324 \tan^{2}{\left(a \right)} \cot^{8}{\left(a \right)} + 3024 \tan^{2}{\left(a \right)} \cot^{6}{\left(a \right)} - 4536 \tan^{2}{\left(a \right)} \cot^{4}{\left(a \right)} + 1296 \tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)} - 36 \tan^{2}{\left(a \right)} + 9 \cot^{8}{\left(a \right)} - 84 \cot^{6}{\left(a \right)} + 126 \cot^{4}{\left(a \right)} - 36 \cot^{2}{\left(a \right)} + 1} - \frac{1024 \sin^{10}{\left(a \right)} \cos^{2}{\left(a \right)}}{- 1024 \cos^{12}{\left(a \right)} + 3072 \cos^{10}{\left(a \right)} - 3456 \cos^{8}{\left(a \right)} + 1792 \cos^{6}{\left(a \right)} - 420 \cos^{4}{\left(a \right)} + 36 \cos^{2}{\left(a \right)}} + \frac{2048 \sin^{8}{\left(a \right)} \cos^{2}{\left(a \right)}}{- 1024 \cos^{12}{\left(a \right)} + 3072 \cos^{10}{\left(a \right)} - 3456 \cos^{8}{\left(a \right)} + 1792 \cos^{6}{\left(a \right)} - 420 \cos^{4}{\left(a \right)} + 36 \cos^{2}{\left(a \right)}} - \frac{1408 \sin^{6}{\left(a \right)} \cos^{2}{\left(a \right)}}{- 1024 \cos^{12}{\left(a \right)} + 3072 \cos^{10}{\left(a \right)} - 3456 \cos^{8}{\left(a \right)} + 1792 \cos^{6}{\left(a \right)} - 420 \cos^{4}{\left(a \right)} + 36 \cos^{2}{\left(a \right)}} + \frac{384 \sin^{4}{\left(a \right)} \cos^{2}{\left(a \right)}}{- 1024 \cos^{12}{\left(a \right)} + 3072 \cos^{10}{\left(a \right)} - 3456 \cos^{8}{\left(a \right)} + 1792 \cos^{6}{\left(a \right)} - 420 \cos^{4}{\left(a \right)} + 36 \cos^{2}{\left(a \right)}} - \frac{36 \sin^{2}{\left(a \right)} \cos^{2}{\left(a \right)}}{- 1024 \cos^{12}{\left(a \right)} + 3072 \cos^{10}{\left(a \right)} - 3456 \cos^{8}{\left(a \right)} + 1792 \cos^{6}{\left(a \right)} - 420 \cos^{4}{\left(a \right)} + 36 \cos^{2}{\left(a \right)}} + \frac{1}{- 1024 \cos^{12}{\left(a \right)} + 3072 \cos^{10}{\left(a \right)} - 3456 \cos^{8}{\left(a \right)} + 1792 \cos^{6}{\left(a \right)} - 420 \cos^{4}{\left(a \right)} + 36 \cos^{2}{\left(a \right)}}$$
1/(-3456*cos(a)^8 - 1024*cos(a)^12 - 420*cos(a)^4 + 36*cos(a)^2 + 1792*cos(a)^6 + 3072*cos(a)^10) + cot(a)^9*tan(a)^9/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 10584*cot(a)^3*tan(a)^5/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 10584*cot(a)^5*tan(a)^3/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 4536*cot(a)^5*tan(a)^7/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 4536*cot(a)^7*tan(a)^5/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 1408*cos(a)^2*sin(a)^6/(-3456*cos(a)^8 - 1024*cos(a)^12 - 420*cos(a)^4 + 36*cos(a)^2 + 1792*cos(a)^6 + 3072*cos(a)^10) - 1024*cos(a)^2*sin(a)^10/(-3456*cos(a)^8 - 1024*cos(a)^12 - 420*cos(a)^4 + 36*cos(a)^2 + 1792*cos(a)^6 + 3072*cos(a)^10) - 756*cot(a)^3*tan(a)/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 756*tan(a)^3*cot(a)/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 324*cot(a)^7*tan(a)/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 324*tan(a)^7*cot(a)/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 84*cot(a)^3*tan(a)^9/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 84*cot(a)^9*tan(a)^3/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 36*cos(a)^2*sin(a)^2/(-3456*cos(a)^8 - 1024*cos(a)^12 - 420*cos(a)^4 + 36*cos(a)^2 + 1792*cos(a)^6 + 3072*cos(a)^10) - 36*cot(a)^7*tan(a)^9/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) - 36*cot(a)^9*tan(a)^7/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 9*cot(a)^9*tan(a)/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 9*tan(a)^9*cot(a)/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 81*cot(a)*tan(a)/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 126*cot(a)^5*tan(a)^9/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 126*cot(a)^9*tan(a)^5/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 384*cos(a)^2*sin(a)^4/(-3456*cos(a)^8 - 1024*cos(a)^12 - 420*cos(a)^4 + 36*cos(a)^2 + 1792*cos(a)^6 + 3072*cos(a)^10) + 1134*cot(a)^5*tan(a)/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 1134*tan(a)^5*cot(a)/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 1296*cot(a)^7*tan(a)^7/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 2048*cos(a)^2*sin(a)^8/(-3456*cos(a)^8 - 1024*cos(a)^12 - 420*cos(a)^4 + 36*cos(a)^2 + 1792*cos(a)^6 + 3072*cos(a)^10) + 3024*cot(a)^3*tan(a)^7/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 3024*cot(a)^7*tan(a)^3/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 7056*cot(a)^3*tan(a)^3/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4) + 15876*cot(a)^5*tan(a)^5/(1 - 84*cot(a)^6 - 84*tan(a)^6 - 36*cot(a)^2 - 36*tan(a)^2 + 9*cot(a)^8 + 9*tan(a)^8 + 126*cot(a)^4 + 126*tan(a)^4 - 10584*cot(a)^4*tan(a)^6 - 10584*cot(a)^6*tan(a)^4 - 4536*cot(a)^2*tan(a)^4 - 4536*cot(a)^4*tan(a)^2 - 756*cot(a)^6*tan(a)^8 - 756*cot(a)^8*tan(a)^6 - 324*cot(a)^2*tan(a)^8 - 324*cot(a)^8*tan(a)^2 + 81*cot(a)^8*tan(a)^8 + 1134*cot(a)^4*tan(a)^8 + 1134*cot(a)^8*tan(a)^4 + 1296*cot(a)^2*tan(a)^2 + 3024*cot(a)^2*tan(a)^6 + 3024*cot(a)^6*tan(a)^2 + 7056*cot(a)^6*tan(a)^6 + 15876*cot(a)^4*tan(a)^4)
Combinatoria
[src]
2 2
-1 + sin (6*a) - cot(9*a)*tan(9*a) + cos (6*a)*cot(9*a)*tan(9*a)
----------------------------------------------------------------
(1 + cos(6*a))*(-1 + cos(6*a))
$$\frac{\sin^{2}{\left(6 a \right)} + \cos^{2}{\left(6 a \right)} \tan{\left(9 a \right)} \cot{\left(9 a \right)} - \tan{\left(9 a \right)} \cot{\left(9 a \right)} - 1}{\left(\cos{\left(6 a \right)} - 1\right) \left(\cos{\left(6 a \right)} + 1\right)}$$
(-1 + sin(6*a)^2 - cot(9*a)*tan(9*a) + cos(6*a)^2*cot(9*a)*tan(9*a))/((1 + cos(6*a))*(-1 + cos(6*a)))
Denominador común
[src]
2
-1 + sin (6*a)
-------------- + cot(9*a)*tan(9*a)
2
-1 + cos (6*a)
$$\frac{\sin^{2}{\left(6 a \right)} - 1}{\cos^{2}{\left(6 a \right)} - 1} + \tan{\left(9 a \right)} \cot{\left(9 a \right)}$$
(-1 + sin(6*a)^2)/(-1 + cos(6*a)^2) + cot(9*a)*tan(9*a)
Parte trigonométrica
[src]
2 ------------- 1 - cos(12*a)
$$\frac{2}{1 - \cos{\left(12 a \right)}}$$
1
-1 + ---------
2
csc (6*a)
1 - ------------------
1
1 - --------------
2/pi \
csc |-- - 6*a|
\2 /
$$- \frac{-1 + \frac{1}{\csc^{2}{\left(6 a \right)}}}{1 - \frac{1}{\csc^{2}{\left(- 6 a + \frac{\pi}{2} \right)}}} + 1$$
1
-1 + ---------
2
csc (6*a)
1 - --------------
1
1 - ---------
2
sec (6*a)
$$- \frac{-1 + \frac{1}{\csc^{2}{\left(6 a \right)}}}{1 - \frac{1}{\sec^{2}{\left(6 a \right)}}} + 1$$
2
------------------
1
1 - --------------
/pi \
csc|-- - 12*a|
\2 /
$$\frac{2}{1 - \frac{1}{\csc{\left(- 12 a + \frac{\pi}{2} \right)}}}$$
1
-1 + --------------
2/ pi\
sec |6*a - --|
\ 2 /
1 - -------------------
1
1 - ---------
2
sec (6*a)
$$- \frac{-1 + \frac{1}{\sec^{2}{\left(6 a - \frac{\pi}{2} \right)}}}{1 - \frac{1}{\sec^{2}{\left(6 a \right)}}} + 1$$
2/ pi\
-1 + cos |6*a - --|
\ 2 /
1 - -------------------
2
1 - cos (6*a)
$$1 - \frac{\cos^{2}{\left(6 a - \frac{\pi}{2} \right)} - 1}{1 - \cos^{2}{\left(6 a \right)}}$$
2
-----------------
2
1 - tan (6*a)
1 - -------------
2
1 + tan (6*a)
$$\frac{2}{- \frac{1 - \tan^{2}{\left(6 a \right)}}{\tan^{2}{\left(6 a \right)} + 1} + 1}$$
2
-1 + sin (6*a)
1 - --------------
2
1 - cos (6*a)
$$1 - \frac{\sin^{2}{\left(6 a \right)} - 1}{1 - \cos^{2}{\left(6 a \right)}}$$
2
4*cot (3*a)
-1 + ----------------
2
/ 2 \
\1 + cot (3*a)/
1 - ---------------------
2
/ 2 \
\-1 + cot (3*a)/
1 - -----------------
2
/ 2 \
\1 + cot (3*a)/
$$- \frac{-1 + \frac{4 \cot^{2}{\left(3 a \right)}}{\left(\cot^{2}{\left(3 a \right)} + 1\right)^{2}}}{- \frac{\left(\cot^{2}{\left(3 a \right)} - 1\right)^{2}}{\left(\cot^{2}{\left(3 a \right)} + 1\right)^{2}} + 1} + 1$$
2
-1 + sin (6*a)
1 - ------------------
2/pi \
1 - sin |-- + 6*a|
\2 /
$$1 - \frac{\sin^{2}{\left(6 a \right)} - 1}{1 - \sin^{2}{\left(6 a + \frac{\pi}{2} \right)}}$$
2
4*tan (3*a)
-1 + ----------------
2
/ 2 \
\1 + tan (3*a)/
1 - ---------------------
2
/ 2 \
\1 - tan (3*a)/
1 - ----------------
2
/ 2 \
\1 + tan (3*a)/
$$- \frac{-1 + \frac{4 \tan^{2}{\left(3 a \right)}}{\left(\tan^{2}{\left(3 a \right)} + 1\right)^{2}}}{- \frac{\left(1 - \tan^{2}{\left(3 a \right)}\right)^{2}}{\left(\tan^{2}{\left(3 a \right)} + 1\right)^{2}} + 1} + 1$$
2
------------------
2
-1 + cot (6*a)
1 - --------------
2
1 + cot (6*a)
$$\frac{2}{- \frac{\cot^{2}{\left(6 a \right)} - 1}{\cot^{2}{\left(6 a \right)} + 1} + 1}$$
2
-------------
1
1 - ---------
sec(12*a)
$$\frac{2}{1 - \frac{1}{\sec{\left(12 a \right)}}}$$
2
------------------
/pi \
1 - sin|-- + 12*a|
\2 /
$$\frac{2}{1 - \sin{\left(12 a + \frac{\pi}{2} \right)}}$$
2/(1 - sin(pi/2 + 12*a))
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