Simplificación general
[src]
/ pi\
-cos(-5*y + 3*x) + (cos(5*y) + sin(-5*y + 3*x))*cot|x + --| + sin(5*y)
\ 4 /
----------------------------------------------------------------------
cos(5*y) + sin(-5*y + 3*x)
$$\frac{\left(\sin{\left(3 x - 5 y \right)} + \cos{\left(5 y \right)}\right) \cot{\left(x + \frac{\pi}{4} \right)} + \sin{\left(5 y \right)} - \cos{\left(3 x - 5 y \right)}}{\sin{\left(3 x - 5 y \right)} + \cos{\left(5 y \right)}}$$
(-cos(-5*y + 3*x) + (cos(5*y) + sin(-5*y + 3*x))*cot(x + pi/4) + sin(5*y))/(cos(5*y) + sin(-5*y + 3*x))
-(-sin(5*y) + cos(5*y - 3*x))/(-sin(5*y - 3*x) + cos(5*y)) + cot(x + pi/4)
-(-sin(5*y) + cos(5*y - 3*x))/(-sin(5*y - 3*x) + cos(5*y)) + cot(x + pi/4)
-cos(-5*y + 3*x) + sin(5*y) / pi\
--------------------------- + cot|x + --|
cos(5*y) + sin(-5*y + 3*x) \ 4 /
$$\frac{\sin{\left(5 y \right)} - \cos{\left(3 x - 5 y \right)}}{\sin{\left(3 x - 5 y \right)} + \cos{\left(5 y \right)}} + \cot{\left(x + \frac{\pi}{4} \right)}$$
-sin(5*y) + cos(-5*y + 3*x) / pi\
- --------------------------- + cot|x + --|
cos(5*y) + sin(-5*y + 3*x) \ 4 /
$$- \frac{- \sin{\left(5 y \right)} + \cos{\left(3 x - 5 y \right)}}{\sin{\left(3 x - 5 y \right)} + \cos{\left(5 y \right)}} + \cot{\left(x + \frac{\pi}{4} \right)}$$
I*(-5*y + 3*x) I*(-3*x + 5*y) / -5*I*y 5*I*y\
e e I*\- e + e /
--------------- + --------------- + ----------------------
2 2 2 / pi\
- ---------------------------------------------------------- + cot|x + --|
-5*I*y 5*I*y / I*(-5*y + 3*x) I*(-3*x + 5*y)\ \ 4 /
e e I*\- e + e /
------- + ------ + ---------------------------------------
2 2 2
$$- \frac{\frac{i \left(e^{5 i y} - e^{- 5 i y}\right)}{2} + \frac{e^{i \left(- 3 x + 5 y\right)}}{2} + \frac{e^{i \left(3 x - 5 y\right)}}{2}}{\frac{i \left(e^{i \left(- 3 x + 5 y\right)} - e^{i \left(3 x - 5 y\right)}\right)}{2} + \frac{e^{5 i y}}{2} + \frac{e^{- 5 i y}}{2}} + \cot{\left(x + \frac{\pi}{4} \right)}$$
-(exp(i*(-5*y + 3*x))/2 + exp(i*(-3*x + 5*y))/2 + i*(-exp(-5*i*y) + exp(5*i*y))/2)/(exp(-5*i*y)/2 + exp(5*i*y)/2 + i*(-exp(i*(-5*y + 3*x)) + exp(i*(-3*x + 5*y)))/2) + cot(x + pi/4)
/ / pi\ / pi\ \
-|-sin(5*y) - cos(5*y)*cot|x + --| - cot|x + --|*sin(-5*y + 3*x) + cos(-5*y + 3*x)|
\ \ 4 / \ 4 / /
------------------------------------------------------------------------------------
cos(5*y) + sin(-5*y + 3*x)
$$- \frac{- \sin{\left(5 y \right)} - \sin{\left(3 x - 5 y \right)} \cot{\left(x + \frac{\pi}{4} \right)} - \cos{\left(5 y \right)} \cot{\left(x + \frac{\pi}{4} \right)} + \cos{\left(3 x - 5 y \right)}}{\sin{\left(3 x - 5 y \right)} + \cos{\left(5 y \right)}}$$
-(-sin(5*y) - cos(5*y)*cot(x + pi/4) - cot(x + pi/4)*sin(-5*y + 3*x) + cos(-5*y + 3*x))/(cos(5*y) + sin(-5*y + 3*x))
-sin(5*y) + cos(-5*y + 3*x) / pi\
- --------------------------- + cot|x + --|
cos(5*y) + sin(-5*y + 3*x) \ 4 /
$$- \frac{- \sin{\left(5 y \right)} + \cos{\left(3 x - 5 y \right)}}{\sin{\left(3 x - 5 y \right)} + \cos{\left(5 y \right)}} + \cot{\left(x + \frac{\pi}{4} \right)}$$
-(-sin(5*y) + cos(-5*y + 3*x))/(cos(5*y) + sin(-5*y + 3*x)) + cot(x + pi/4)
Unión de expresiones racionales
[src]
/pi + 4*x\
-cos(-5*y + 3*x) + (cos(5*y) + sin(-5*y + 3*x))*cot|--------| + sin(5*y)
\ 4 /
------------------------------------------------------------------------
cos(5*y) + sin(-5*y + 3*x)
$$\frac{\left(\sin{\left(3 x - 5 y \right)} + \cos{\left(5 y \right)}\right) \cot{\left(\frac{4 x + \pi}{4} \right)} + \sin{\left(5 y \right)} - \cos{\left(3 x - 5 y \right)}}{\sin{\left(3 x - 5 y \right)} + \cos{\left(5 y \right)}}$$
(-cos(-5*y + 3*x) + (cos(5*y) + sin(-5*y + 3*x))*cot((pi + 4*x)/4) + sin(5*y))/(cos(5*y) + sin(-5*y + 3*x))
Denominador racional
[src]
/ pi\ / pi\
-cos(-5*y + 3*x) + cos(5*y)*cot|x + --| + cot|x + --|*sin(-5*y + 3*x) + sin(5*y)
\ 4 / \ 4 /
--------------------------------------------------------------------------------
cos(5*y) + sin(-5*y + 3*x)
$$\frac{\sin{\left(5 y \right)} + \sin{\left(3 x - 5 y \right)} \cot{\left(x + \frac{\pi}{4} \right)} + \cos{\left(5 y \right)} \cot{\left(x + \frac{\pi}{4} \right)} - \cos{\left(3 x - 5 y \right)}}{\sin{\left(3 x - 5 y \right)} + \cos{\left(5 y \right)}}$$
(-cos(-5*y + 3*x) + cos(5*y)*cot(x + pi/4) + cot(x + pi/4)*sin(-5*y + 3*x) + sin(5*y))/(cos(5*y) + sin(-5*y + 3*x))
Abrimos la expresión
[src]
3 5 3 3 3 5 3 5 3 3 5 3 3 5 3 3
1 cot(x) 20*sin (y) 5*sin(y) 16*sin (y) 80*sin (x)*sin (y) 64*cos (x)*cos (y) 60*cos (y)*cos(x) 48*sin (y)*sin(x) 20*cos (x)*cos(y) 15*sin(x)*sin(y) 15*cos(x)*cos(y) 20*sin (x)*sin(y) 48*cos (y)*cos(x) 60*sin (y)*sin(x) 64*sin (x)*sin (y) 80*cos (x)*cos (y)
- ---------- + ---------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
1 + cot(x) 1 + cot(x) 3 5 3 5 5 3 3 3 3 3 5 5 3 3 3 3 3 5 3 5 5 3 3 3 3 3 5 5 3 3 3 3 3 5 3 5 5 3 3 3 3 3 5 5 3 3 3 3 3 5 3 5 5 3 3 3 3 3 5 5 3 3 3 3 3 5 3 5 5 3 3 3 3 3 5 5 3 3 3 3 3 5 3 5 5 3 3 3 3 3 5 5 3 3 3 3 3 5 3 5 5 3 3 3 3 3 5 5 3 3 3 3 3 5 3 5 5 3 3 3 3 3 5 5 3 3 3 3 3 5 3 5 5 3 3 3 3 3 5 5 3 3 3 3 3 5 3 5 5 3 3 3 3 3 5 5 3 3 3 3 3 5 3 5 5 3 3 3 3 3 5 5 3 3 3 3 3 5 3 5 5 3 3 3 3 3 5 5 3 3 3 3 3 5 3 5 5 3 3 3 3 3 5 5 3 3 3 3 3 5 3 5 5 3 3 3 3 3 5 5 3 3 3 3 3 5 3 5 5 3 3 3 3 3 5 5 3 3 3 3
- 20*cos (y) + 5*cos(y) + 16*cos (y) - 64*cos (x)*sin (y) - 64*cos (y)*sin (x) - 60*cos (y)*sin(x) - 60*sin (y)*cos(x) - 20*cos (x)*sin(y) - 20*sin (x)*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos (y)*sin(x) + 48*sin (y)*cos(x) + 80*cos (x)*sin (y) + 80*cos (y)*sin (x) - 20*cos (y) + 5*cos(y) + 16*cos (y) - 64*cos (x)*sin (y) - 64*cos (y)*sin (x) - 60*cos (y)*sin(x) - 60*sin (y)*cos(x) - 20*cos (x)*sin(y) - 20*sin (x)*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos (y)*sin(x) + 48*sin (y)*cos(x) + 80*cos (x)*sin (y) + 80*cos (y)*sin (x) - 20*cos (y) + 5*cos(y) + 16*cos (y) - 64*cos (x)*sin (y) - 64*cos (y)*sin (x) - 60*cos (y)*sin(x) - 60*sin (y)*cos(x) - 20*cos (x)*sin(y) - 20*sin (x)*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos (y)*sin(x) + 48*sin (y)*cos(x) + 80*cos (x)*sin (y) + 80*cos (y)*sin (x) - 20*cos (y) + 5*cos(y) + 16*cos (y) - 64*cos (x)*sin (y) - 64*cos (y)*sin (x) - 60*cos (y)*sin(x) - 60*sin (y)*cos(x) - 20*cos (x)*sin(y) - 20*sin (x)*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos (y)*sin(x) + 48*sin (y)*cos(x) + 80*cos (x)*sin (y) + 80*cos (y)*sin (x) - 20*cos (y) + 5*cos(y) + 16*cos (y) - 64*cos (x)*sin (y) - 64*cos (y)*sin (x) - 60*cos (y)*sin(x) - 60*sin (y)*cos(x) - 20*cos (x)*sin(y) - 20*sin (x)*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos (y)*sin(x) + 48*sin (y)*cos(x) + 80*cos (x)*sin (y) + 80*cos (y)*sin (x) - 20*cos (y) + 5*cos(y) + 16*cos (y) - 64*cos (x)*sin (y) - 64*cos (y)*sin (x) - 60*cos (y)*sin(x) - 60*sin (y)*cos(x) - 20*cos (x)*sin(y) - 20*sin (x)*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos (y)*sin(x) + 48*sin (y)*cos(x) + 80*cos (x)*sin (y) + 80*cos (y)*sin (x) - 20*cos (y) + 5*cos(y) + 16*cos (y) - 64*cos (x)*sin (y) - 64*cos (y)*sin (x) - 60*cos (y)*sin(x) - 60*sin (y)*cos(x) - 20*cos (x)*sin(y) - 20*sin (x)*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos (y)*sin(x) + 48*sin (y)*cos(x) + 80*cos (x)*sin (y) + 80*cos (y)*sin (x) - 20*cos (y) + 5*cos(y) + 16*cos (y) - 64*cos (x)*sin (y) - 64*cos (y)*sin (x) - 60*cos (y)*sin(x) - 60*sin (y)*cos(x) - 20*cos (x)*sin(y) - 20*sin (x)*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos (y)*sin(x) + 48*sin (y)*cos(x) + 80*cos (x)*sin (y) + 80*cos (y)*sin (x) - 20*cos (y) + 5*cos(y) + 16*cos (y) - 64*cos (x)*sin (y) - 64*cos (y)*sin (x) - 60*cos (y)*sin(x) - 60*sin (y)*cos(x) - 20*cos (x)*sin(y) - 20*sin (x)*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos (y)*sin(x) + 48*sin (y)*cos(x) + 80*cos (x)*sin (y) + 80*cos (y)*sin (x) - 20*cos (y) + 5*cos(y) + 16*cos (y) - 64*cos (x)*sin (y) - 64*cos (y)*sin (x) - 60*cos (y)*sin(x) - 60*sin (y)*cos(x) - 20*cos (x)*sin(y) - 20*sin (x)*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos (y)*sin(x) + 48*sin (y)*cos(x) + 80*cos (x)*sin (y) + 80*cos (y)*sin (x) - 20*cos (y) + 5*cos(y) + 16*cos (y) - 64*cos (x)*sin (y) - 64*cos (y)*sin (x) - 60*cos (y)*sin(x) - 60*sin (y)*cos(x) - 20*cos (x)*sin(y) - 20*sin (x)*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos (y)*sin(x) + 48*sin (y)*cos(x) + 80*cos (x)*sin (y) + 80*cos (y)*sin (x) - 20*cos (y) + 5*cos(y) + 16*cos (y) - 64*cos (x)*sin (y) - 64*cos (y)*sin (x) - 60*cos (y)*sin(x) - 60*sin (y)*cos(x) - 20*cos (x)*sin(y) - 20*sin (x)*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos (y)*sin(x) + 48*sin (y)*cos(x) + 80*cos (x)*sin (y) + 80*cos (y)*sin (x) - 20*cos (y) + 5*cos(y) + 16*cos (y) - 64*cos (x)*sin (y) - 64*cos (y)*sin (x) - 60*cos (y)*sin(x) - 60*sin (y)*cos(x) - 20*cos (x)*sin(y) - 20*sin (x)*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos (y)*sin(x) + 48*sin (y)*cos(x) + 80*cos (x)*sin (y) + 80*cos (y)*sin (x) - 20*cos (y) + 5*cos(y) + 16*cos (y) - 64*cos (x)*sin (y) - 64*cos (y)*sin (x) - 60*cos (y)*sin(x) - 60*sin (y)*cos(x) - 20*cos (x)*sin(y) - 20*sin (x)*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos (y)*sin(x) + 48*sin (y)*cos(x) + 80*cos (x)*sin (y) + 80*cos (y)*sin (x) - 20*cos (y) + 5*cos(y) + 16*cos (y) - 64*cos (x)*sin (y) - 64*cos (y)*sin (x) - 60*cos (y)*sin(x) - 60*sin (y)*cos(x) - 20*cos (x)*sin(y) - 20*sin (x)*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos (y)*sin(x) + 48*sin (y)*cos(x) + 80*cos (x)*sin (y) + 80*cos (y)*sin (x)
$$\frac{64 \sin^{3}{\left(x \right)} \sin^{5}{\left(y \right)}}{- 64 \sin^{3}{\left(x \right)} \cos^{5}{\left(y \right)} + 80 \sin^{3}{\left(x \right)} \cos^{3}{\left(y \right)} - 20 \sin^{3}{\left(x \right)} \cos{\left(y \right)} + 48 \sin{\left(x \right)} \cos^{5}{\left(y \right)} - 60 \sin{\left(x \right)} \cos^{3}{\left(y \right)} + 15 \sin{\left(x \right)} \cos{\left(y \right)} - 64 \sin^{5}{\left(y \right)} \cos^{3}{\left(x \right)} + 48 \sin^{5}{\left(y \right)} \cos{\left(x \right)} + 80 \sin^{3}{\left(y \right)} \cos^{3}{\left(x \right)} - 60 \sin^{3}{\left(y \right)} \cos{\left(x \right)} - 20 \sin{\left(y \right)} \cos^{3}{\left(x \right)} + 15 \sin{\left(y \right)} \cos{\left(x \right)} + 16 \cos^{5}{\left(y \right)} - 20 \cos^{3}{\left(y \right)} + 5 \cos{\left(y \right)}} - \frac{80 \sin^{3}{\left(x \right)} \sin^{3}{\left(y \right)}}{- 64 \sin^{3}{\left(x \right)} \cos^{5}{\left(y \right)} + 80 \sin^{3}{\left(x \right)} \cos^{3}{\left(y \right)} - 20 \sin^{3}{\left(x \right)} \cos{\left(y \right)} + 48 \sin{\left(x \right)} \cos^{5}{\left(y \right)} - 60 \sin{\left(x \right)} \cos^{3}{\left(y \right)} + 15 \sin{\left(x \right)} \cos{\left(y \right)} - 64 \sin^{5}{\left(y \right)} \cos^{3}{\left(x \right)} + 48 \sin^{5}{\left(y \right)} \cos{\left(x \right)} + 80 \sin^{3}{\left(y \right)} \cos^{3}{\left(x \right)} - 60 \sin^{3}{\left(y \right)} \cos{\left(x \right)} - 20 \sin{\left(y \right)} \cos^{3}{\left(x \right)} + 15 \sin{\left(y \right)} \cos{\left(x \right)} + 16 \cos^{5}{\left(y \right)} - 20 \cos^{3}{\left(y \right)} + 5 \cos{\left(y \right)}} + \frac{20 \sin^{3}{\left(x \right)} \sin{\left(y \right)}}{- 64 \sin^{3}{\left(x \right)} \cos^{5}{\left(y \right)} + 80 \sin^{3}{\left(x \right)} \cos^{3}{\left(y \right)} - 20 \sin^{3}{\left(x \right)} \cos{\left(y \right)} + 48 \sin{\left(x \right)} \cos^{5}{\left(y \right)} - 60 \sin{\left(x \right)} \cos^{3}{\left(y \right)} + 15 \sin{\left(x \right)} \cos{\left(y \right)} - 64 \sin^{5}{\left(y \right)} \cos^{3}{\left(x \right)} + 48 \sin^{5}{\left(y \right)} \cos{\left(x \right)} + 80 \sin^{3}{\left(y \right)} \cos^{3}{\left(x \right)} - 60 \sin^{3}{\left(y \right)} \cos{\left(x \right)} - 20 \sin{\left(y \right)} \cos^{3}{\left(x \right)} + 15 \sin{\left(y \right)} \cos{\left(x \right)} + 16 \cos^{5}{\left(y \right)} - 20 \cos^{3}{\left(y \right)} + 5 \cos{\left(y \right)}} - \frac{48 \sin{\left(x \right)} \sin^{5}{\left(y \right)}}{- 64 \sin^{3}{\left(x \right)} \cos^{5}{\left(y \right)} + 80 \sin^{3}{\left(x \right)} \cos^{3}{\left(y \right)} - 20 \sin^{3}{\left(x \right)} \cos{\left(y \right)} + 48 \sin{\left(x \right)} \cos^{5}{\left(y \right)} - 60 \sin{\left(x \right)} \cos^{3}{\left(y \right)} + 15 \sin{\left(x \right)} \cos{\left(y \right)} - 64 \sin^{5}{\left(y \right)} \cos^{3}{\left(x \right)} + 48 \sin^{5}{\left(y \right)} \cos{\left(x \right)} + 80 \sin^{3}{\left(y \right)} \cos^{3}{\left(x \right)} - 60 \sin^{3}{\left(y \right)} \cos{\left(x \right)} - 20 \sin{\left(y \right)} \cos^{3}{\left(x \right)} + 15 \sin{\left(y \right)} \cos{\left(x \right)} + 16 \cos^{5}{\left(y \right)} - 20 \cos^{3}{\left(y \right)} + 5 \cos{\left(y \right)}} + \frac{60 \sin{\left(x \right)} \sin^{3}{\left(y \right)}}{- 64 \sin^{3}{\left(x \right)} \cos^{5}{\left(y \right)} + 80 \sin^{3}{\left(x \right)} \cos^{3}{\left(y \right)} - 20 \sin^{3}{\left(x \right)} \cos{\left(y \right)} + 48 \sin{\left(x \right)} \cos^{5}{\left(y \right)} - 60 \sin{\left(x \right)} \cos^{3}{\left(y \right)} + 15 \sin{\left(x \right)} \cos{\left(y \right)} - 64 \sin^{5}{\left(y \right)} \cos^{3}{\left(x \right)} + 48 \sin^{5}{\left(y \right)} \cos{\left(x \right)} + 80 \sin^{3}{\left(y \right)} \cos^{3}{\left(x \right)} - 60 \sin^{3}{\left(y \right)} \cos{\left(x \right)} - 20 \sin{\left(y \right)} \cos^{3}{\left(x \right)} + 15 \sin{\left(y \right)} \cos{\left(x \right)} + 16 \cos^{5}{\left(y \right)} - 20 \cos^{3}{\left(y \right)} + 5 \cos{\left(y \right)}} - \frac{15 \sin{\left(x \right)} \sin{\left(y \right)}}{- 64 \sin^{3}{\left(x \right)} \cos^{5}{\left(y \right)} + 80 \sin^{3}{\left(x \right)} \cos^{3}{\left(y \right)} - 20 \sin^{3}{\left(x \right)} \cos{\left(y \right)} + 48 \sin{\left(x \right)} \cos^{5}{\left(y \right)} - 60 \sin{\left(x \right)} \cos^{3}{\left(y \right)} + 15 \sin{\left(x \right)} \cos{\left(y \right)} - 64 \sin^{5}{\left(y \right)} \cos^{3}{\left(x \right)} + 48 \sin^{5}{\left(y \right)} \cos{\left(x \right)} + 80 \sin^{3}{\left(y \right)} \cos^{3}{\left(x \right)} - 60 \sin^{3}{\left(y \right)} \cos{\left(x \right)} - 20 \sin{\left(y \right)} \cos^{3}{\left(x \right)} + 15 \sin{\left(y \right)} \cos{\left(x \right)} + 16 \cos^{5}{\left(y \right)} - 20 \cos^{3}{\left(y \right)} + 5 \cos{\left(y \right)}} + \frac{16 \sin^{5}{\left(y \right)}}{- 64 \sin^{3}{\left(x \right)} \cos^{5}{\left(y \right)} + 80 \sin^{3}{\left(x \right)} \cos^{3}{\left(y \right)} - 20 \sin^{3}{\left(x \right)} \cos{\left(y \right)} + 48 \sin{\left(x \right)} \cos^{5}{\left(y \right)} - 60 \sin{\left(x \right)} \cos^{3}{\left(y \right)} + 15 \sin{\left(x \right)} \cos{\left(y \right)} - 64 \sin^{5}{\left(y \right)} \cos^{3}{\left(x \right)} + 48 \sin^{5}{\left(y \right)} \cos{\left(x \right)} + 80 \sin^{3}{\left(y \right)} \cos^{3}{\left(x \right)} - 60 \sin^{3}{\left(y \right)} \cos{\left(x \right)} - 20 \sin{\left(y \right)} \cos^{3}{\left(x \right)} + 15 \sin{\left(y \right)} \cos{\left(x \right)} + 16 \cos^{5}{\left(y \right)} - 20 \cos^{3}{\left(y \right)} + 5 \cos{\left(y \right)}} - \frac{20 \sin^{3}{\left(y \right)}}{- 64 \sin^{3}{\left(x \right)} \cos^{5}{\left(y \right)} + 80 \sin^{3}{\left(x \right)} \cos^{3}{\left(y \right)} - 20 \sin^{3}{\left(x \right)} \cos{\left(y \right)} + 48 \sin{\left(x \right)} \cos^{5}{\left(y \right)} - 60 \sin{\left(x \right)} \cos^{3}{\left(y \right)} + 15 \sin{\left(x \right)} \cos{\left(y \right)} - 64 \sin^{5}{\left(y \right)} \cos^{3}{\left(x \right)} + 48 \sin^{5}{\left(y \right)} \cos{\left(x \right)} + 80 \sin^{3}{\left(y \right)} \cos^{3}{\left(x \right)} - 60 \sin^{3}{\left(y \right)} \cos{\left(x \right)} - 20 \sin{\left(y \right)} \cos^{3}{\left(x \right)} + 15 \sin{\left(y \right)} \cos{\left(x \right)} + 16 \cos^{5}{\left(y \right)} - 20 \cos^{3}{\left(y \right)} + 5 \cos{\left(y \right)}} + \frac{5 \sin{\left(y \right)}}{- 64 \sin^{3}{\left(x \right)} \cos^{5}{\left(y \right)} + 80 \sin^{3}{\left(x \right)} \cos^{3}{\left(y \right)} - 20 \sin^{3}{\left(x \right)} \cos{\left(y \right)} + 48 \sin{\left(x \right)} \cos^{5}{\left(y \right)} - 60 \sin{\left(x \right)} \cos^{3}{\left(y \right)} + 15 \sin{\left(x \right)} \cos{\left(y \right)} - 64 \sin^{5}{\left(y \right)} \cos^{3}{\left(x \right)} + 48 \sin^{5}{\left(y \right)} \cos{\left(x \right)} + 80 \sin^{3}{\left(y \right)} \cos^{3}{\left(x \right)} - 60 \sin^{3}{\left(y \right)} \cos{\left(x \right)} - 20 \sin{\left(y \right)} \cos^{3}{\left(x \right)} + 15 \sin{\left(y \right)} \cos{\left(x \right)} + 16 \cos^{5}{\left(y \right)} - 20 \cos^{3}{\left(y \right)} + 5 \cos{\left(y \right)}} - \frac{64 \cos^{3}{\left(x \right)} \cos^{5}{\left(y \right)}}{- 64 \sin^{3}{\left(x \right)} \cos^{5}{\left(y \right)} + 80 \sin^{3}{\left(x \right)} \cos^{3}{\left(y \right)} - 20 \sin^{3}{\left(x \right)} \cos{\left(y \right)} + 48 \sin{\left(x \right)} \cos^{5}{\left(y \right)} - 60 \sin{\left(x \right)} \cos^{3}{\left(y \right)} + 15 \sin{\left(x \right)} \cos{\left(y \right)} - 64 \sin^{5}{\left(y \right)} \cos^{3}{\left(x \right)} + 48 \sin^{5}{\left(y \right)} \cos{\left(x \right)} + 80 \sin^{3}{\left(y \right)} \cos^{3}{\left(x \right)} - 60 \sin^{3}{\left(y \right)} \cos{\left(x \right)} - 20 \sin{\left(y \right)} \cos^{3}{\left(x \right)} + 15 \sin{\left(y \right)} \cos{\left(x \right)} + 16 \cos^{5}{\left(y \right)} - 20 \cos^{3}{\left(y \right)} + 5 \cos{\left(y \right)}} + \frac{80 \cos^{3}{\left(x \right)} \cos^{3}{\left(y \right)}}{- 64 \sin^{3}{\left(x \right)} \cos^{5}{\left(y \right)} + 80 \sin^{3}{\left(x \right)} \cos^{3}{\left(y \right)} - 20 \sin^{3}{\left(x \right)} \cos{\left(y \right)} + 48 \sin{\left(x \right)} \cos^{5}{\left(y \right)} - 60 \sin{\left(x \right)} \cos^{3}{\left(y \right)} + 15 \sin{\left(x \right)} \cos{\left(y \right)} - 64 \sin^{5}{\left(y \right)} \cos^{3}{\left(x \right)} + 48 \sin^{5}{\left(y \right)} \cos{\left(x \right)} + 80 \sin^{3}{\left(y \right)} \cos^{3}{\left(x \right)} - 60 \sin^{3}{\left(y \right)} \cos{\left(x \right)} - 20 \sin{\left(y \right)} \cos^{3}{\left(x \right)} + 15 \sin{\left(y \right)} \cos{\left(x \right)} + 16 \cos^{5}{\left(y \right)} - 20 \cos^{3}{\left(y \right)} + 5 \cos{\left(y \right)}} - \frac{20 \cos^{3}{\left(x \right)} \cos{\left(y \right)}}{- 64 \sin^{3}{\left(x \right)} \cos^{5}{\left(y \right)} + 80 \sin^{3}{\left(x \right)} \cos^{3}{\left(y \right)} - 20 \sin^{3}{\left(x \right)} \cos{\left(y \right)} + 48 \sin{\left(x \right)} \cos^{5}{\left(y \right)} - 60 \sin{\left(x \right)} \cos^{3}{\left(y \right)} + 15 \sin{\left(x \right)} \cos{\left(y \right)} - 64 \sin^{5}{\left(y \right)} \cos^{3}{\left(x \right)} + 48 \sin^{5}{\left(y \right)} \cos{\left(x \right)} + 80 \sin^{3}{\left(y \right)} \cos^{3}{\left(x \right)} - 60 \sin^{3}{\left(y \right)} \cos{\left(x \right)} - 20 \sin{\left(y \right)} \cos^{3}{\left(x \right)} + 15 \sin{\left(y \right)} \cos{\left(x \right)} + 16 \cos^{5}{\left(y \right)} - 20 \cos^{3}{\left(y \right)} + 5 \cos{\left(y \right)}} + \frac{48 \cos{\left(x \right)} \cos^{5}{\left(y \right)}}{- 64 \sin^{3}{\left(x \right)} \cos^{5}{\left(y \right)} + 80 \sin^{3}{\left(x \right)} \cos^{3}{\left(y \right)} - 20 \sin^{3}{\left(x \right)} \cos{\left(y \right)} + 48 \sin{\left(x \right)} \cos^{5}{\left(y \right)} - 60 \sin{\left(x \right)} \cos^{3}{\left(y \right)} + 15 \sin{\left(x \right)} \cos{\left(y \right)} - 64 \sin^{5}{\left(y \right)} \cos^{3}{\left(x \right)} + 48 \sin^{5}{\left(y \right)} \cos{\left(x \right)} + 80 \sin^{3}{\left(y \right)} \cos^{3}{\left(x \right)} - 60 \sin^{3}{\left(y \right)} \cos{\left(x \right)} - 20 \sin{\left(y \right)} \cos^{3}{\left(x \right)} + 15 \sin{\left(y \right)} \cos{\left(x \right)} + 16 \cos^{5}{\left(y \right)} - 20 \cos^{3}{\left(y \right)} + 5 \cos{\left(y \right)}} - \frac{60 \cos{\left(x \right)} \cos^{3}{\left(y \right)}}{- 64 \sin^{3}{\left(x \right)} \cos^{5}{\left(y \right)} + 80 \sin^{3}{\left(x \right)} \cos^{3}{\left(y \right)} - 20 \sin^{3}{\left(x \right)} \cos{\left(y \right)} + 48 \sin{\left(x \right)} \cos^{5}{\left(y \right)} - 60 \sin{\left(x \right)} \cos^{3}{\left(y \right)} + 15 \sin{\left(x \right)} \cos{\left(y \right)} - 64 \sin^{5}{\left(y \right)} \cos^{3}{\left(x \right)} + 48 \sin^{5}{\left(y \right)} \cos{\left(x \right)} + 80 \sin^{3}{\left(y \right)} \cos^{3}{\left(x \right)} - 60 \sin^{3}{\left(y \right)} \cos{\left(x \right)} - 20 \sin{\left(y \right)} \cos^{3}{\left(x \right)} + 15 \sin{\left(y \right)} \cos{\left(x \right)} + 16 \cos^{5}{\left(y \right)} - 20 \cos^{3}{\left(y \right)} + 5 \cos{\left(y \right)}} + \frac{15 \cos{\left(x \right)} \cos{\left(y \right)}}{- 64 \sin^{3}{\left(x \right)} \cos^{5}{\left(y \right)} + 80 \sin^{3}{\left(x \right)} \cos^{3}{\left(y \right)} - 20 \sin^{3}{\left(x \right)} \cos{\left(y \right)} + 48 \sin{\left(x \right)} \cos^{5}{\left(y \right)} - 60 \sin{\left(x \right)} \cos^{3}{\left(y \right)} + 15 \sin{\left(x \right)} \cos{\left(y \right)} - 64 \sin^{5}{\left(y \right)} \cos^{3}{\left(x \right)} + 48 \sin^{5}{\left(y \right)} \cos{\left(x \right)} + 80 \sin^{3}{\left(y \right)} \cos^{3}{\left(x \right)} - 60 \sin^{3}{\left(y \right)} \cos{\left(x \right)} - 20 \sin{\left(y \right)} \cos^{3}{\left(x \right)} + 15 \sin{\left(y \right)} \cos{\left(x \right)} + 16 \cos^{5}{\left(y \right)} - 20 \cos^{3}{\left(y \right)} + 5 \cos{\left(y \right)}} + \frac{\cot{\left(x \right)}}{\cot{\left(x \right)} + 1} - \frac{1}{\cot{\left(x \right)} + 1}$$
-1/(1 + cot(x)) + cot(x)/(1 + cot(x)) - 20*sin(y)^3/(-20*cos(y)^3 + 5*cos(y) + 16*cos(y)^5 - 64*cos(x)^3*sin(y)^5 - 64*cos(y)^5*sin(x)^3 - 60*cos(y)^3*sin(x) - 60*sin(y)^3*cos(x) - 20*cos(x)^3*sin(y) - 20*sin(x)^3*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos(y)^5*sin(x) + 48*sin(y)^5*cos(x) + 80*cos(x)^3*sin(y)^3 + 80*cos(y)^3*sin(x)^3) + 5*sin(y)/(-20*cos(y)^3 + 5*cos(y) + 16*cos(y)^5 - 64*cos(x)^3*sin(y)^5 - 64*cos(y)^5*sin(x)^3 - 60*cos(y)^3*sin(x) - 60*sin(y)^3*cos(x) - 20*cos(x)^3*sin(y) - 20*sin(x)^3*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos(y)^5*sin(x) + 48*sin(y)^5*cos(x) + 80*cos(x)^3*sin(y)^3 + 80*cos(y)^3*sin(x)^3) + 16*sin(y)^5/(-20*cos(y)^3 + 5*cos(y) + 16*cos(y)^5 - 64*cos(x)^3*sin(y)^5 - 64*cos(y)^5*sin(x)^3 - 60*cos(y)^3*sin(x) - 60*sin(y)^3*cos(x) - 20*cos(x)^3*sin(y) - 20*sin(x)^3*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos(y)^5*sin(x) + 48*sin(y)^5*cos(x) + 80*cos(x)^3*sin(y)^3 + 80*cos(y)^3*sin(x)^3) - 80*sin(x)^3*sin(y)^3/(-20*cos(y)^3 + 5*cos(y) + 16*cos(y)^5 - 64*cos(x)^3*sin(y)^5 - 64*cos(y)^5*sin(x)^3 - 60*cos(y)^3*sin(x) - 60*sin(y)^3*cos(x) - 20*cos(x)^3*sin(y) - 20*sin(x)^3*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos(y)^5*sin(x) + 48*sin(y)^5*cos(x) + 80*cos(x)^3*sin(y)^3 + 80*cos(y)^3*sin(x)^3) - 64*cos(x)^3*cos(y)^5/(-20*cos(y)^3 + 5*cos(y) + 16*cos(y)^5 - 64*cos(x)^3*sin(y)^5 - 64*cos(y)^5*sin(x)^3 - 60*cos(y)^3*sin(x) - 60*sin(y)^3*cos(x) - 20*cos(x)^3*sin(y) - 20*sin(x)^3*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos(y)^5*sin(x) + 48*sin(y)^5*cos(x) + 80*cos(x)^3*sin(y)^3 + 80*cos(y)^3*sin(x)^3) - 60*cos(y)^3*cos(x)/(-20*cos(y)^3 + 5*cos(y) + 16*cos(y)^5 - 64*cos(x)^3*sin(y)^5 - 64*cos(y)^5*sin(x)^3 - 60*cos(y)^3*sin(x) - 60*sin(y)^3*cos(x) - 20*cos(x)^3*sin(y) - 20*sin(x)^3*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos(y)^5*sin(x) + 48*sin(y)^5*cos(x) + 80*cos(x)^3*sin(y)^3 + 80*cos(y)^3*sin(x)^3) - 48*sin(y)^5*sin(x)/(-20*cos(y)^3 + 5*cos(y) + 16*cos(y)^5 - 64*cos(x)^3*sin(y)^5 - 64*cos(y)^5*sin(x)^3 - 60*cos(y)^3*sin(x) - 60*sin(y)^3*cos(x) - 20*cos(x)^3*sin(y) - 20*sin(x)^3*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos(y)^5*sin(x) + 48*sin(y)^5*cos(x) + 80*cos(x)^3*sin(y)^3 + 80*cos(y)^3*sin(x)^3) - 20*cos(x)^3*cos(y)/(-20*cos(y)^3 + 5*cos(y) + 16*cos(y)^5 - 64*cos(x)^3*sin(y)^5 - 64*cos(y)^5*sin(x)^3 - 60*cos(y)^3*sin(x) - 60*sin(y)^3*cos(x) - 20*cos(x)^3*sin(y) - 20*sin(x)^3*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos(y)^5*sin(x) + 48*sin(y)^5*cos(x) + 80*cos(x)^3*sin(y)^3 + 80*cos(y)^3*sin(x)^3) - 15*sin(x)*sin(y)/(-20*cos(y)^3 + 5*cos(y) + 16*cos(y)^5 - 64*cos(x)^3*sin(y)^5 - 64*cos(y)^5*sin(x)^3 - 60*cos(y)^3*sin(x) - 60*sin(y)^3*cos(x) - 20*cos(x)^3*sin(y) - 20*sin(x)^3*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos(y)^5*sin(x) + 48*sin(y)^5*cos(x) + 80*cos(x)^3*sin(y)^3 + 80*cos(y)^3*sin(x)^3) + 15*cos(x)*cos(y)/(-20*cos(y)^3 + 5*cos(y) + 16*cos(y)^5 - 64*cos(x)^3*sin(y)^5 - 64*cos(y)^5*sin(x)^3 - 60*cos(y)^3*sin(x) - 60*sin(y)^3*cos(x) - 20*cos(x)^3*sin(y) - 20*sin(x)^3*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos(y)^5*sin(x) + 48*sin(y)^5*cos(x) + 80*cos(x)^3*sin(y)^3 + 80*cos(y)^3*sin(x)^3) + 20*sin(x)^3*sin(y)/(-20*cos(y)^3 + 5*cos(y) + 16*cos(y)^5 - 64*cos(x)^3*sin(y)^5 - 64*cos(y)^5*sin(x)^3 - 60*cos(y)^3*sin(x) - 60*sin(y)^3*cos(x) - 20*cos(x)^3*sin(y) - 20*sin(x)^3*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos(y)^5*sin(x) + 48*sin(y)^5*cos(x) + 80*cos(x)^3*sin(y)^3 + 80*cos(y)^3*sin(x)^3) + 48*cos(y)^5*cos(x)/(-20*cos(y)^3 + 5*cos(y) + 16*cos(y)^5 - 64*cos(x)^3*sin(y)^5 - 64*cos(y)^5*sin(x)^3 - 60*cos(y)^3*sin(x) - 60*sin(y)^3*cos(x) - 20*cos(x)^3*sin(y) - 20*sin(x)^3*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos(y)^5*sin(x) + 48*sin(y)^5*cos(x) + 80*cos(x)^3*sin(y)^3 + 80*cos(y)^3*sin(x)^3) + 60*sin(y)^3*sin(x)/(-20*cos(y)^3 + 5*cos(y) + 16*cos(y)^5 - 64*cos(x)^3*sin(y)^5 - 64*cos(y)^5*sin(x)^3 - 60*cos(y)^3*sin(x) - 60*sin(y)^3*cos(x) - 20*cos(x)^3*sin(y) - 20*sin(x)^3*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos(y)^5*sin(x) + 48*sin(y)^5*cos(x) + 80*cos(x)^3*sin(y)^3 + 80*cos(y)^3*sin(x)^3) + 64*sin(x)^3*sin(y)^5/(-20*cos(y)^3 + 5*cos(y) + 16*cos(y)^5 - 64*cos(x)^3*sin(y)^5 - 64*cos(y)^5*sin(x)^3 - 60*cos(y)^3*sin(x) - 60*sin(y)^3*cos(x) - 20*cos(x)^3*sin(y) - 20*sin(x)^3*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos(y)^5*sin(x) + 48*sin(y)^5*cos(x) + 80*cos(x)^3*sin(y)^3 + 80*cos(y)^3*sin(x)^3) + 80*cos(x)^3*cos(y)^3/(-20*cos(y)^3 + 5*cos(y) + 16*cos(y)^5 - 64*cos(x)^3*sin(y)^5 - 64*cos(y)^5*sin(x)^3 - 60*cos(y)^3*sin(x) - 60*sin(y)^3*cos(x) - 20*cos(x)^3*sin(y) - 20*sin(x)^3*cos(y) + 15*cos(x)*sin(y) + 15*cos(y)*sin(x) + 48*cos(y)^5*sin(x) + 48*sin(y)^5*cos(x) + 80*cos(x)^3*sin(y)^3 + 80*cos(y)^3*sin(x)^3)
