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Simplificación de expresiones/ Descomposición en fracciones simples/ cot(x+pi/4)+(cos(5*y-3*x)-sin(5*y))/(cos(5*y)-sin(5*y-3*x))

¿Cómo vas a descomponer esta cot(x+pi/4)+(cos(5*y-3*x)-sin(5*y))/(cos(5*y)-sin(5*y-3*x)) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src] 
   /    pi\   cos(5*y - 3*x) - sin(5*y)
cot|x + --| + -------------------------
   \    4 /   cos(5*y) - sin(5*y - 3*x)
−sin⁡(5y)+cos⁡(−3x+5y)−sin⁡(−3x+5y)+cos⁡(5y)+cot⁡(x+π4)\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)} 
cot(x + pi/4) + (cos(5*y - 3*x) - sin(5*y))/(cos(5*y) - sin(5*y - 3*x))
Simplificación general [src] 
                                            /    pi\                  
-sin(5*y) + (cos(5*y) + sin(-5*y + 3*x))*cot|x + --| + cos(-5*y + 3*x)
                                            \    4 /                  
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                      cos(5*y) + sin(-5*y + 3*x)
(sin⁡(3x−5y)+cos⁡(5y))cot⁡(x+π4)−sin⁡(5y)+cos⁡(3x−5y)sin⁡(3x−5y)+cos⁡(5y)\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)}} 
(-sin(5*y) + (cos(5*y) + sin(-5*y + 3*x))*cot(x + pi/4) + cos(-5*y + 3*x))/(cos(5*y) + sin(-5*y + 3*x))
Respuesta numérica [src] 
(-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)
Denominador racional [src] 
                        /    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)
−sin⁡(5y)+sin⁡(3x−5y)cot⁡(x+π4)+cos⁡(5y)cot⁡(x+π4)+cos⁡(3x−5y)sin⁡(3x−5y)+cos⁡(5y)\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))
Combinatoria [src] 
                        /    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)
−sin⁡(5y)+sin⁡(3x−5y)cot⁡(x+π4)+cos⁡(5y)cot⁡(x+π4)+cos⁡(3x−5y)sin⁡(3x−5y)+cos⁡(5y)\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))
Abrimos la expresión [src] 
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      1          cot(x)                                                                                                                                           16*sin (y)                                                                                                                                                                                                                                                                                5*sin(y)                                                                                                                                                                                                                                                                                20*sin (y)                                                                                                                                                                                                                                                                           80*cos (x)*cos (y)                                                                                                                                                                                                                                                                       64*sin (x)*sin (y)                                                                                                                                                                                                                                                                       60*sin (y)*sin(x)                                                                                                                                                                                                                                                                        48*cos (y)*cos(x)                                                                                                                                                                                                                                                                        20*sin (x)*sin(y)                                                                                                                                                                                                                                                                         15*cos(x)*cos(y)                                                                                                                                                                                                                                                                         15*sin(x)*sin(y)                                                                                                                                                                                                                                                                        20*cos (x)*cos(y)                                                                                                                                                                                                                                                                        48*sin (y)*sin(x)                                                                                                                                                                                                                                                                        60*cos (y)*cos(x)                                                                                                                                                                                                                                                                        64*cos (x)*cos (y)                                                                                                                                                                                                                                                                       80*sin (x)*sin (y)                                                                                                                                  
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  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)
−64sin⁡3(x)sin⁡5(y)−64sin⁡3(x)cos⁡5(y)+80sin⁡3(x)cos⁡3(y)−20sin⁡3(x)cos⁡(y)+48sin⁡(x)cos⁡5(y)−60sin⁡(x)cos⁡3(y)+15sin⁡(x)cos⁡(y)−64sin⁡5(y)cos⁡3(x)+48sin⁡5(y)cos⁡(x)+80sin⁡3(y)cos⁡3(x)−60sin⁡3(y)cos⁡(x)−20sin⁡(y)cos⁡3(x)+15sin⁡(y)cos⁡(x)+16cos⁡5(y)−20cos⁡3(y)+5cos⁡(y)+80sin⁡3(x)sin⁡3(y)−64sin⁡3(x)cos⁡5(y)+80sin⁡3(x)cos⁡3(y)−20sin⁡3(x)cos⁡(y)+48sin⁡(x)cos⁡5(y)−60sin⁡(x)cos⁡3(y)+15sin⁡(x)cos⁡(y)−64sin⁡5(y)cos⁡3(x)+48sin⁡5(y)cos⁡(x)+80sin⁡3(y)cos⁡3(x)−60sin⁡3(y)cos⁡(x)−20sin⁡(y)cos⁡3(x)+15sin⁡(y)cos⁡(x)+16cos⁡5(y)−20cos⁡3(y)+5cos⁡(y)−20sin⁡3(x)sin⁡(y)−64sin⁡3(x)cos⁡5(y)+80sin⁡3(x)cos⁡3(y)−20sin⁡3(x)cos⁡(y)+48sin⁡(x)cos⁡5(y)−60sin⁡(x)cos⁡3(y)+15sin⁡(x)cos⁡(y)−64sin⁡5(y)cos⁡3(x)+48sin⁡5(y)cos⁡(x)+80sin⁡3(y)cos⁡3(x)−60sin⁡3(y)cos⁡(x)−20sin⁡(y)cos⁡3(x)+15sin⁡(y)cos⁡(x)+16cos⁡5(y)−20cos⁡3(y)+5cos⁡(y)+48sin⁡(x)sin⁡5(y)−64sin⁡3(x)cos⁡5(y)+80sin⁡3(x)cos⁡3(y)−20sin⁡3(x)cos⁡(y)+48sin⁡(x)cos⁡5(y)−60sin⁡(x)cos⁡3(y)+15sin⁡(x)cos⁡(y)−64sin⁡5(y)cos⁡3(x)+48sin⁡5(y)cos⁡(x)+80sin⁡3(y)cos⁡3(x)−60sin⁡3(y)cos⁡(x)−20sin⁡(y)cos⁡3(x)+15sin⁡(y)cos⁡(x)+16cos⁡5(y)−20cos⁡3(y)+5cos⁡(y)−60sin⁡(x)sin⁡3(y)−64sin⁡3(x)cos⁡5(y)+80sin⁡3(x)cos⁡3(y)−20sin⁡3(x)cos⁡(y)+48sin⁡(x)cos⁡5(y)−60sin⁡(x)cos⁡3(y)+15sin⁡(x)cos⁡(y)−64sin⁡5(y)cos⁡3(x)+48sin⁡5(y)cos⁡(x)+80sin⁡3(y)cos⁡3(x)−60sin⁡3(y)cos⁡(x)−20sin⁡(y)cos⁡3(x)+15sin⁡(y)cos⁡(x)+16cos⁡5(y)−20cos⁡3(y)+5cos⁡(y)+15sin⁡(x)sin⁡(y)−64sin⁡3(x)cos⁡5(y)+80sin⁡3(x)cos⁡3(y)−20sin⁡3(x)cos⁡(y)+48sin⁡(x)cos⁡5(y)−60sin⁡(x)cos⁡3(y)+15sin⁡(x)cos⁡(y)−64sin⁡5(y)cos⁡3(x)+48sin⁡5(y)cos⁡(x)+80sin⁡3(y)cos⁡3(x)−60sin⁡3(y)cos⁡(x)−20sin⁡(y)cos⁡3(x)+15sin⁡(y)cos⁡(x)+16cos⁡5(y)−20cos⁡3(y)+5cos⁡(y)−16sin⁡5(y)−64sin⁡3(x)cos⁡5(y)+80sin⁡3(x)cos⁡3(y)−20sin⁡3(x)cos⁡(y)+48sin⁡(x)cos⁡5(y)−60sin⁡(x)cos⁡3(y)+15sin⁡(x)cos⁡(y)−64sin⁡5(y)cos⁡3(x)+48sin⁡5(y)cos⁡(x)+80sin⁡3(y)cos⁡3(x)−60sin⁡3(y)cos⁡(x)−20sin⁡(y)cos⁡3(x)+15sin⁡(y)cos⁡(x)+16cos⁡5(y)−20cos⁡3(y)+5cos⁡(y)+20sin⁡3(y)−64sin⁡3(x)cos⁡5(y)+80sin⁡3(x)cos⁡3(y)−20sin⁡3(x)cos⁡(y)+48sin⁡(x)cos⁡5(y)−60sin⁡(x)cos⁡3(y)+15sin⁡(x)cos⁡(y)−64sin⁡5(y)cos⁡3(x)+48sin⁡5(y)cos⁡(x)+80sin⁡3(y)cos⁡3(x)−60sin⁡3(y)cos⁡(x)−20sin⁡(y)cos⁡3(x)+15sin⁡(y)cos⁡(x)+16cos⁡5(y)−20cos⁡3(y)+5cos⁡(y)−5sin⁡(y)−64sin⁡3(x)cos⁡5(y)+80sin⁡3(x)cos⁡3(y)−20sin⁡3(x)cos⁡(y)+48sin⁡(x)cos⁡5(y)−60sin⁡(x)cos⁡3(y)+15sin⁡(x)cos⁡(y)−64sin⁡5(y)cos⁡3(x)+48sin⁡5(y)cos⁡(x)+80sin⁡3(y)cos⁡3(x)−60sin⁡3(y)cos⁡(x)−20sin⁡(y)cos⁡3(x)+15sin⁡(y)cos⁡(x)+16cos⁡5(y)−20cos⁡3(y)+5cos⁡(y)+64cos⁡3(x)cos⁡5(y)−64sin⁡3(x)cos⁡5(y)+80sin⁡3(x)cos⁡3(y)−20sin⁡3(x)cos⁡(y)+48sin⁡(x)cos⁡5(y)−60sin⁡(x)cos⁡3(y)+15sin⁡(x)cos⁡(y)−64sin⁡5(y)cos⁡3(x)+48sin⁡5(y)cos⁡(x)+80sin⁡3(y)cos⁡3(x)−60sin⁡3(y)cos⁡(x)−20sin⁡(y)cos⁡3(x)+15sin⁡(y)cos⁡(x)+16cos⁡5(y)−20cos⁡3(y)+5cos⁡(y)−80cos⁡3(x)cos⁡3(y)−64sin⁡3(x)cos⁡5(y)+80sin⁡3(x)cos⁡3(y)−20sin⁡3(x)cos⁡(y)+48sin⁡(x)cos⁡5(y)−60sin⁡(x)cos⁡3(y)+15sin⁡(x)cos⁡(y)−64sin⁡5(y)cos⁡3(x)+48sin⁡5(y)cos⁡(x)+80sin⁡3(y)cos⁡3(x)−60sin⁡3(y)cos⁡(x)−20sin⁡(y)cos⁡3(x)+15sin⁡(y)cos⁡(x)+16cos⁡5(y)−20cos⁡3(y)+5cos⁡(y)+20cos⁡3(x)cos⁡(y)−64sin⁡3(x)cos⁡5(y)+80sin⁡3(x)cos⁡3(y)−20sin⁡3(x)cos⁡(y)+48sin⁡(x)cos⁡5(y)−60sin⁡(x)cos⁡3(y)+15sin⁡(x)cos⁡(y)−64sin⁡5(y)cos⁡3(x)+48sin⁡5(y)cos⁡(x)+80sin⁡3(y)cos⁡3(x)−60sin⁡3(y)cos⁡(x)−20sin⁡(y)cos⁡3(x)+15sin⁡(y)cos⁡(x)+16cos⁡5(y)−20cos⁡3(y)+5cos⁡(y)−48cos⁡(x)cos⁡5(y)−64sin⁡3(x)cos⁡5(y)+80sin⁡3(x)cos⁡3(y)−20sin⁡3(x)cos⁡(y)+48sin⁡(x)cos⁡5(y)−60sin⁡(x)cos⁡3(y)+15sin⁡(x)cos⁡(y)−64sin⁡5(y)cos⁡3(x)+48sin⁡5(y)cos⁡(x)+80sin⁡3(y)cos⁡3(x)−60sin⁡3(y)cos⁡(x)−20sin⁡(y)cos⁡3(x)+15sin⁡(y)cos⁡(x)+16cos⁡5(y)−20cos⁡3(y)+5cos⁡(y)+60cos⁡(x)cos⁡3(y)−64sin⁡3(x)cos⁡5(y)+80sin⁡3(x)cos⁡3(y)−20sin⁡3(x)cos⁡(y)+48sin⁡(x)cos⁡5(y)−60sin⁡(x)cos⁡3(y)+15sin⁡(x)cos⁡(y)−64sin⁡5(y)cos⁡3(x)+48sin⁡5(y)cos⁡(x)+80sin⁡3(y)cos⁡3(x)−60sin⁡3(y)cos⁡(x)−20sin⁡(y)cos⁡3(x)+15sin⁡(y)cos⁡(x)+16cos⁡5(y)−20cos⁡3(y)+5cos⁡(y)−15cos⁡(x)cos⁡(y)−64sin⁡3(x)cos⁡5(y)+80sin⁡3(x)cos⁡3(y)−20sin⁡3(x)cos⁡(y)+48sin⁡(x)cos⁡5(y)−60sin⁡(x)cos⁡3(y)+15sin⁡(x)cos⁡(y)−64sin⁡5(y)cos⁡3(x)+48sin⁡5(y)cos⁡(x)+80sin⁡3(y)cos⁡3(x)−60sin⁡3(y)cos⁡(x)−20sin⁡(y)cos⁡3(x)+15sin⁡(y)cos⁡(x)+16cos⁡5(y)−20cos⁡3(y)+5cos⁡(y)+cot⁡(x)cot⁡(x)+1−1cot⁡(x)+1- \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)) - 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) - 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) + 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) - 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) - 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) - 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) - 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) - 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) - 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) + 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) + 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) + 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) + 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) + 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) + 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)
Unión de expresiones racionales [src] 
                                            /pi + 4*x\                  
-sin(5*y) + (cos(5*y) + sin(-5*y + 3*x))*cot|--------| + cos(-5*y + 3*x)
                                            \   4    /                  
------------------------------------------------------------------------
                       cos(5*y) + sin(-5*y + 3*x)
(sin⁡(3x−5y)+cos⁡(5y))cot⁡(4x+π4)−sin⁡(5y)+cos⁡(3x−5y)sin⁡(3x−5y)+cos⁡(5y)\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)}} 
(-sin(5*y) + (cos(5*y) + sin(-5*y + 3*x))*cot((pi + 4*x)/4) + cos(-5*y + 3*x))/(cos(5*y) + sin(-5*y + 3*x))
Denominador común [src] 
-sin(5*y) + cos(-5*y + 3*x)      /    pi\
--------------------------- + cot|x + --|
 cos(5*y) + sin(-5*y + 3*x)      \    4 /
−sin⁡(5y)+cos⁡(3x−5y)sin⁡(3x−5y)+cos⁡(5y)+cot⁡(x+π4)\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)
Potencias [src] 
-sin(5*y) + cos(-5*y + 3*x)      /    pi\
--------------------------- + cot|x + --|
 cos(5*y) + sin(-5*y + 3*x)      \    4 /
−sin⁡(5y)+cos⁡(3x−5y)sin⁡(3x−5y)+cos⁡(5y)+cot⁡(x+π4)\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
i(e5iy−e−5iy)2+ei(−3x+5y)2+ei(3x−5y)2i(ei(−3x+5y)−ei(3x−5y))2+e5iy2+e−5iy2+cot⁡(x+π4)\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)
    © Sr Examen – Калькулятор