Sr Examen
Otras calculadoras
-
¿Cómo usar?
- ¿cómo vas a descomponer esta expresión en fracciones?:
- tg8actg8a-(cos^2(6a)-1)/(1-sin^2(6a))
- (9^5*5^9)/(3^9*5^10)
- ((3x^2y^5)/(5z^6))/((25z^5)/(9x^2y^6))^3
- ((-3+i)/(1-2i)-((i^65-i^66)/i^64))
- Factorizar el polinomio:
- x^2+z^2
- n^3-1
- a^2-b^4
- y^3+y^5
- Descomponer al cuadrado:
- -y^2-12*y+11
- 4*x^4-8*x^2-8
- -y^4-y^2-8
- x^4+x^2-1
-
Expresiones idénticas
- tg8actg8a-(cos^ dos (6a)- uno)/(uno -sin^ dos (6a))
- tg8actg8a menos ( coseno de al cuadrado (6a) menos 1) dividir por (1 menos seno de al cuadrado (6a))
- tg8actg8a menos ( coseno de en el grado dos (6a) menos uno) dividir por (uno menos seno de en el grado dos (6a))
- tg8actg8a-(cos2(6a)-1)/(1-sin2(6a))
- tg8actg8a-cos26a-1/1-sin26a
- tg8actg8a-(cos²(6a)-1)/(1-sin²(6a))
- tg8actg8a-(cos en el grado 2(6a)-1)/(1-sin en el grado 2(6a))
- tg8actg8a-cos^26a-1/1-sin^26a
- tg8actg8a-(cos^2(6a)-1) dividir por (1-sin^2(6a))
-
Expresiones semejantes
- tg8actg8a-(cos^2(6a)-1)/(1+sin^2(6a))
- tg8actg8a-(cos^2(6a)+1)/(1-sin^2(6a))
- tg8actg8a+(cos^2(6a)-1)/(1-sin^2(6a))
-
Expresiones con funciones
- 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)))
- 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)
Simplificación de expresiones/
Descomposición en fracciones simples/
tg8actg8a-(cos^2(6a)-1)/(1-sin^2(6a))
¿Cómo vas a descomponer esta tg8actg8a-(cos^2(6a)-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)
$$\tan{\left(8 a \right)} \cot{\left(8 a \right)} - \frac{\cos^{2}{\left(6 a \right)} - 1}{1 - \sin^{2}{\left(6 a \right)}}$$
tan(8*a)*cot(8*a) - (cos(6*a)^2 - 1)/(1 - sin(6*a)^2)
Simplificación general
[src]
-1
--------------
2
-1 + sin (6*a)
$$- \frac{1}{\sin^{2}{\left(6 a \right)} - 1}$$
-1/(-1 + sin(6*a)^2)
Respuesta numérica
[src]
cot(8*a)*tan(8*a) - (-1.0 + cos(6*a)^2)/(1.0 - sin(6*a)^2)
cot(8*a)*tan(8*a) - (-1.0 + cos(6*a)^2)/(1.0 - sin(6*a)^2)
Denominador común
[src]
2
-1 + cos (6*a)
-------------- + cot(8*a)*tan(8*a)
2
-1 + sin (6*a)
$$\tan{\left(8 a \right)} \cot{\left(8 a \right)} + \frac{\cos^{2}{\left(6 a \right)} - 1}{\sin^{2}{\left(6 a \right)} - 1}$$
(-1 + cos(6*a)^2)/(-1 + sin(6*a)^2) + cot(8*a)*tan(8*a)
Potencias
[src]
2
1 - cos (6*a)
------------- + cot(8*a)*tan(8*a)
2
1 - sin (6*a)
$$\tan{\left(8 a \right)} \cot{\left(8 a \right)} + \frac{1 - \cos^{2}{\left(6 a \right)}}{1 - \sin^{2}{\left(6 a \right)}}$$
2
/ -6*I*a 6*I*a\
|e e |
-1 + |------- + ------| / 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
$$- \frac{\left(\frac{e^{6 i a}}{2} + \frac{e^{- 6 i a}}{2}\right)^{2} - 1}{\frac{\left(e^{6 i a} - e^{- 6 i a}\right)^{2}}{4} + 1} + \frac{i \left(- e^{8 i a} + e^{- 8 i a}\right) \cot{\left(8 a \right)}}{e^{8 i a} + e^{- 8 i a}}$$
-(-1 + (exp(-6*i*a)/2 + exp(6*i*a)/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))
Denominador racional
[src]
2 / 2 \
1 - cos (6*a) + \1 - sin (6*a)/*cot(8*a)*tan(8*a)
-------------------------------------------------
2
1 - sin (6*a)
$$\frac{\left(1 - \sin^{2}{\left(6 a \right)}\right) \tan{\left(8 a \right)} \cot{\left(8 a \right)} - \cos^{2}{\left(6 a \right)} + 1}{1 - \sin^{2}{\left(6 a \right)}}$$
(1 - cos(6*a)^2 + (1 - sin(6*a)^2)*cot(8*a)*tan(8*a))/(1 - sin(6*a)^2)
Combinatoria
[src]
2 2
-1 + cos (6*a) - cot(8*a)*tan(8*a) + sin (6*a)*cot(8*a)*tan(8*a)
----------------------------------------------------------------
(1 + sin(6*a))*(-1 + sin(6*a))
$$\frac{\sin^{2}{\left(6 a \right)} \tan{\left(8 a \right)} \cot{\left(8 a \right)} + \cos^{2}{\left(6 a \right)} - \tan{\left(8 a \right)} \cot{\left(8 a \right)} - 1}{\left(\sin{\left(6 a \right)} - 1\right) \left(\sin{\left(6 a \right)} + 1\right)}$$
(-1 + cos(6*a)^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)))
Unión de expresiones racionales
[src]
2 / 2 \
1 - cos (6*a) + \1 - sin (6*a)/*cot(8*a)*tan(8*a)
-------------------------------------------------
2
1 - sin (6*a)
$$\frac{\left(1 - \sin^{2}{\left(6 a \right)}\right) \tan{\left(8 a \right)} \cot{\left(8 a \right)} - \cos^{2}{\left(6 a \right)} + 1}{1 - \sin^{2}{\left(6 a \right)}}$$
(1 - cos(6*a)^2 + (1 - sin(6*a)^2)*cot(8*a)*tan(8*a))/(1 - sin(6*a)^2)
Abrimos la expresión
[src]
8 12 4 3 7 2 5 6 10 4 3 2 5 6 5 4 7 2 6 8 3 8 7 8 8 5 2 7 6 7 4 2 3 6 3 4 5
3456*cos (a) 1024*cos (a) 420*cos (a) 56*tan (a) 8*tan (a) 8*tan(a) 36*cos (a) 56*tan (a) 1792*cos (a) 3072*cos (a) 3920*cot (a)*tan (a) 1568*cot (a)*tan (a) 1568*cot (a)*tan (a) 560*cot (a)*tan (a) 224*cot (a)*tan(a) 224*cot (a)*tan(a) 56*cot (a)*tan (a) 8*cot (a)*tan (a) 8*cot (a)*tan(a) 56*cot (a)*tan (a) 224*cot (a)*tan (a) 224*cot (a)*tan (a) 560*cot (a)*tan(a) 1568*cot (a)*tan (a) 1568*cot (a)*tan (a) 3920*cot (a)*tan (a)
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2 6 2 10 2 2 2 4 2 8 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 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 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 5 7 3 5 4 3 2 3 6 4 7 2 7 6 5 8 8 7 8 3 8 2 6 7 4 5 2 5 6 3 4 5 7 3 5 4 3 2 3 6 4 7 2 7 6 5 8 8 7 8 3 8 2 6 7 4 5 2 5 6 3 4 5 7 3 5 4 3 2 3 6 4 7 2 7 6 5 8 8 7 8 3 8 2 6 7 4 5 2 5 6 3 4 5 7 3 5 4 3 2 3 6 4 7 2 7 6 5 8 8 7 8 3 8 2 6 7 4 5 2 5 6 3 4 5 7 3 5 4 3 2 3 6 4 7 2 7 6 5 8 8 7 8 3 8 2 6 7 4 5 2 5 6 3 4 5 7 3 5 4 3 2 3 6 4 7 2 7 6 5 8 8 7 8 3 8 2 6 7 4 5 2 5 6 3 4 5 7 3 5 4 3 2 3 6 4 7 2 7 6 5 8 8 7 8 3 8 2 6 7 4 5 2 5 6 3 4 5 7 3 5 4 3 2 3 6 4 7 2 7 6 5 8 8 7 8 3 8 2 6 7 4 5 2 5 6 3 4 5 7 3 5 4 3 2 3 6 4 7 2 7 6 5 8 8 7 8 3 8 2 6 7 4 5 2 5 6 3 4 5 7 3 5 4 3 2 3 6 4 7 2 7 6 5 8 8 7 8 3 8 2 6 7 4 5 2 5 6 3 4
1 - 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) 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) 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) 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) - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a) - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a) - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a) - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a) - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a) - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a) - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a) - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a) - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a) - 56*cot (a) - 8*cot(a) + 8*cot (a) + 56*cot (a) - 3920*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 1568*cot (a)*tan (a) - 560*tan (a)*cot(a) - 224*cot (a)*tan (a) - 224*cot (a)*tan (a) - 56*cot (a)*tan (a) - 8*tan (a)*cot(a) + 8*cot (a)*tan (a) + 56*cot (a)*tan (a) + 224*tan (a)*cot(a) + 224*tan (a)*cot(a) + 560*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 1568*cot (a)*tan (a) + 3920*cot (a)*tan (a)
$$- \frac{8 \tan^{7}{\left(a \right)} \cot^{8}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} + \frac{224 \tan^{7}{\left(a \right)} \cot^{6}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} - \frac{560 \tan^{7}{\left(a \right)} \cot^{4}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} + \frac{224 \tan^{7}{\left(a \right)} \cot^{2}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} - \frac{8 \tan^{7}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} + \frac{56 \tan^{5}{\left(a \right)} \cot^{8}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} - \frac{1568 \tan^{5}{\left(a \right)} \cot^{6}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} + \frac{3920 \tan^{5}{\left(a \right)} \cot^{4}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} - \frac{1568 \tan^{5}{\left(a \right)} \cot^{2}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} + \frac{56 \tan^{5}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} - \frac{56 \tan^{3}{\left(a \right)} \cot^{8}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} + \frac{1568 \tan^{3}{\left(a \right)} \cot^{6}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} - \frac{3920 \tan^{3}{\left(a \right)} \cot^{4}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} + \frac{1568 \tan^{3}{\left(a \right)} \cot^{2}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} - \frac{56 \tan^{3}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} + \frac{8 \tan{\left(a \right)} \cot^{8}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} - \frac{224 \tan{\left(a \right)} \cot^{6}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} + \frac{560 \tan{\left(a \right)} \cot^{4}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} - \frac{224 \tan{\left(a \right)} \cot^{2}{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} + \frac{8 \tan{\left(a \right)}}{8 \tan^{8}{\left(a \right)} \cot^{7}{\left(a \right)} - 56 \tan^{8}{\left(a \right)} \cot^{5}{\left(a \right)} + 56 \tan^{8}{\left(a \right)} \cot^{3}{\left(a \right)} - 8 \tan^{8}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{6}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{6}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{6}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{6}{\left(a \right)} \cot{\left(a \right)} + 560 \tan^{4}{\left(a \right)} \cot^{7}{\left(a \right)} - 3920 \tan^{4}{\left(a \right)} \cot^{5}{\left(a \right)} + 3920 \tan^{4}{\left(a \right)} \cot^{3}{\left(a \right)} - 560 \tan^{4}{\left(a \right)} \cot{\left(a \right)} - 224 \tan^{2}{\left(a \right)} \cot^{7}{\left(a \right)} + 1568 \tan^{2}{\left(a \right)} \cot^{5}{\left(a \right)} - 1568 \tan^{2}{\left(a \right)} \cot^{3}{\left(a \right)} + 224 \tan^{2}{\left(a \right)} \cot{\left(a \right)} + 8 \cot^{7}{\left(a \right)} - 56 \cot^{5}{\left(a \right)} + 56 \cot^{3}{\left(a \right)} - 8 \cot{\left(a \right)}} - \frac{1024 \cos^{12}{\left(a \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 \cos^{10}{\left(a \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 \cos^{8}{\left(a \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 \cos^{6}{\left(a \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{420 \cos^{4}{\left(a \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 \cos^{2}{\left(a \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}$$
-3456*cos(a)^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) - 1024*cos(a)^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) - 420*cos(a)^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) - 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) + 36*cos(a)^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*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) + 1792*cos(a)^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*cos(a)^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)^3/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) - 1568*cot(a)^2*tan(a)^5/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) - 1568*cot(a)^6*tan(a)^5/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) - 560*cot(a)^4*tan(a)^7/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) - 224*cot(a)^2*tan(a)/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) - 224*cot(a)^6*tan(a)/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) - 56*cot(a)^8*tan(a)^3/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) - 8*cot(a)^8*tan(a)^7/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) + 8*cot(a)^8*tan(a)/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) + 56*cot(a)^8*tan(a)^5/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) + 224*cot(a)^2*tan(a)^7/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) + 224*cot(a)^6*tan(a)^7/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) + 560*cot(a)^4*tan(a)/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) + 1568*cot(a)^2*tan(a)^3/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) + 1568*cot(a)^6*tan(a)^3/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4) + 3920*cot(a)^4*tan(a)^5/(-56*cot(a)^5 - 8*cot(a) + 8*cot(a)^7 + 56*cot(a)^3 - 3920*cot(a)^5*tan(a)^4 - 1568*cot(a)^3*tan(a)^2 - 1568*cot(a)^3*tan(a)^6 - 560*tan(a)^4*cot(a) - 224*cot(a)^7*tan(a)^2 - 224*cot(a)^7*tan(a)^6 - 56*cot(a)^5*tan(a)^8 - 8*tan(a)^8*cot(a) + 8*cot(a)^7*tan(a)^8 + 56*cot(a)^3*tan(a)^8 + 224*tan(a)^2*cot(a) + 224*tan(a)^6*cot(a) + 560*cot(a)^7*tan(a)^4 + 1568*cot(a)^5*tan(a)^2 + 1568*cot(a)^5*tan(a)^6 + 3920*cot(a)^3*tan(a)^4)
Parte trigonométrica
[src]
1
-1 + ---------
2
sec (6*a)
1 - ------------------
1
1 - --------------
2/ pi\
sec |6*a - --|
\ 2 /
$$- \frac{-1 + \frac{1}{\sec^{2}{\left(6 a \right)}}}{1 - \frac{1}{\sec^{2}{\left(6 a - \frac{\pi}{2} \right)}}} + 1$$
1
-1 + ---------
2
sec (6*a)
1 - --------------
1
1 - ---------
2
csc (6*a)
$$- \frac{-1 + \frac{1}{\sec^{2}{\left(6 a \right)}}}{1 - \frac{1}{\csc^{2}{\left(6 a \right)}}} + 1$$
2/pi \
-1 + sin |-- + 6*a|
\2 /
1 - -------------------
2
1 - sin (6*a)
$$1 - \frac{\sin^{2}{\left(6 a + \frac{\pi}{2} \right)} - 1}{1 - \sin^{2}{\left(6 a \right)}}$$
2
-1 + cos (6*a)
1 - --------------
2
1 - sin (6*a)
$$1 - \frac{\cos^{2}{\left(6 a \right)} - 1}{1 - \sin^{2}{\left(6 a \right)}}$$
2
-------------
1
1 + ---------
sec(12*a)
$$\frac{2}{1 + \frac{1}{\sec{\left(12 a \right)}}}$$
2
------------------
/pi \
1 + sin|-- + 12*a|
\2 /
$$\frac{2}{\sin{\left(12 a + \frac{\pi}{2} \right)} + 1}$$
2
-1 + cos (6*a)
1 - ------------------
2/ pi\
1 - cos |6*a - --|
\ 2 /
$$1 - \frac{\cos^{2}{\left(6 a \right)} - 1}{1 - \cos^{2}{\left(6 a - \frac{\pi}{2} \right)}}$$
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
------------------
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 + cos(12*a)
$$\frac{2}{\cos{\left(12 a \right)} + 1}$$
2
/ 2 \
\1 - tan (3*a)/
-1 + ----------------
2
/ 2 \
\1 + tan (3*a)/
1 - ---------------------
2
4*tan (3*a)
1 - ----------------
2
/ 2 \
\1 + tan (3*a)/
$$1 - \frac{\frac{\left(1 - \tan^{2}{\left(3 a \right)}\right)^{2}}{\left(\tan^{2}{\left(3 a \right)} + 1\right)^{2}} - 1}{1 - \frac{4 \tan^{2}{\left(3 a \right)}}{\left(\tan^{2}{\left(3 a \right)} + 1\right)^{2}}}$$
2
/ 2 \
\-1 + cot (3*a)/
-1 + -----------------
2
/ 2 \
\1 + cot (3*a)/
1 - ----------------------
2
4*cot (3*a)
1 - ----------------
2
/ 2 \
\1 + cot (3*a)/
$$1 - \frac{\frac{\left(\cot^{2}{\left(3 a \right)} - 1\right)^{2}}{\left(\cot^{2}{\left(3 a \right)} + 1\right)^{2}} - 1}{1 - \frac{4 \cot^{2}{\left(3 a \right)}}{\left(\cot^{2}{\left(3 a \right)} + 1\right)^{2}}}$$
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 \
csc |-- - 6*a|
\2 /
1 - -------------------
1
1 - ---------
2
csc (6*a)
$$- \frac{-1 + \frac{1}{\csc^{2}{\left(- 6 a + \frac{\pi}{2} \right)}}}{1 - \frac{1}{\csc^{2}{\left(6 a \right)}}} + 1$$
1 - (-1 + csc(pi/2 - 6*a)^(-2))/(1 - 1/csc(6*a)^2)
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