Sr Examen

Otras calculadoras

z=e^(-(x^3+2x)/(sqrt(y+tg(y)))) la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
          3        
       - x  - 2*x  
     --------------
       ____________
     \/ y + tan(y) 
z = E              
$$z = e^{\frac{- x^{3} - 2 x}{\sqrt{y + \tan{\left(y \right)}}}}$$
Solución detallada
Tenemos la ecuación:
$$z = e^{\frac{- x^{3} - 2 x}{\sqrt{y + \tan{\left(y \right)}}}}$$
cambiamos:
$$z = e^{\frac{x \left(- x^{2} - 2\right)}{\sqrt{y + \tan{\left(y \right)}}}}$$
Abrimos los paréntesis en el miembro derecho de la ecuación
z = expx*-2+x+2sqrty+tan+y))

Obtenemos la respuesta: z = exp(x*(-2 - x^2)/sqrt(y + tan(y)))
Gráfica
Suma y producto de raíces [src]
suma
                                                                                                                            /      x       \     2      /      x       \     2      /      x       \             /      x       \                  /      x       \     2      /      x       \     2      /      x       \             /      x       \                                                                                                                           
                                                                                                                      - 2*re|--------------| + im (x)*re|--------------| - re (x)*re|--------------| + 2*im(x)*im|--------------|*re(x)      - 2*re|--------------| + im (x)*re|--------------| - re (x)*re|--------------| + 2*im(x)*im|--------------|*re(x)                                                                                                                     
                                                                                                                            |  ____________|            |  ____________|            |  ____________|             |  ____________|                  |  ____________|            |  ____________|            |  ____________|             |  ____________|                                                                                                                           
   /    /      x       \     2      /      x       \     2      /      x       \                   /      x       \\        \\/ y + tan(y) /            \\/ y + tan(y) /            \\/ y + tan(y) /             \\/ y + tan(y) /                  \\/ y + tan(y) /            \\/ y + tan(y) /            \\/ y + tan(y) /             \\/ y + tan(y) /          /    /      x       \     2      /      x       \     2      /      x       \                   /      x       \\
cos|2*im|--------------| + re (x)*im|--------------| - im (x)*im|--------------| + 2*im(x)*re(x)*re|--------------||*e                                                                                                                  - I*e                                                                                                                 *sin|2*im|--------------| + re (x)*im|--------------| - im (x)*im|--------------| + 2*im(x)*re(x)*re|--------------||
   |    |  ____________|            |  ____________|            |  ____________|                   |  ____________||                                                                                                                                                                                                                                              |    |  ____________|            |  ____________|            |  ____________|                   |  ____________||
   \    \\/ y + tan(y) /            \\/ y + tan(y) /            \\/ y + tan(y) /                   \\/ y + tan(y) //                                                                                                                                                                                                                                              \    \\/ y + tan(y) /            \\/ y + tan(y) /            \\/ y + tan(y) /                   \\/ y + tan(y) //
$$- i e^{- \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 2 \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)}} \sin{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{re}{\left(x\right)} \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \operatorname{im}{\left(x\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \right)} + e^{- \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 2 \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)}} \cos{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{re}{\left(x\right)} \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \operatorname{im}{\left(x\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \right)}$$
=
                                                                                                                            /      x       \     2      /      x       \     2      /      x       \             /      x       \                  /      x       \     2      /      x       \     2      /      x       \             /      x       \                                                                                                                           
                                                                                                                      - 2*re|--------------| + im (x)*re|--------------| - re (x)*re|--------------| + 2*im(x)*im|--------------|*re(x)      - 2*re|--------------| + im (x)*re|--------------| - re (x)*re|--------------| + 2*im(x)*im|--------------|*re(x)                                                                                                                     
                                                                                                                            |  ____________|            |  ____________|            |  ____________|             |  ____________|                  |  ____________|            |  ____________|            |  ____________|             |  ____________|                                                                                                                           
   /    /      x       \     2      /      x       \     2      /      x       \                   /      x       \\        \\/ y + tan(y) /            \\/ y + tan(y) /            \\/ y + tan(y) /             \\/ y + tan(y) /                  \\/ y + tan(y) /            \\/ y + tan(y) /            \\/ y + tan(y) /             \\/ y + tan(y) /          /    /      x       \     2      /      x       \     2      /      x       \                   /      x       \\
cos|2*im|--------------| + re (x)*im|--------------| - im (x)*im|--------------| + 2*im(x)*re(x)*re|--------------||*e                                                                                                                  - I*e                                                                                                                 *sin|2*im|--------------| + re (x)*im|--------------| - im (x)*im|--------------| + 2*im(x)*re(x)*re|--------------||
   |    |  ____________|            |  ____________|            |  ____________|                   |  ____________||                                                                                                                                                                                                                                              |    |  ____________|            |  ____________|            |  ____________|                   |  ____________||
   \    \\/ y + tan(y) /            \\/ y + tan(y) /            \\/ y + tan(y) /                   \\/ y + tan(y) //                                                                                                                                                                                                                                              \    \\/ y + tan(y) /            \\/ y + tan(y) /            \\/ y + tan(y) /                   \\/ y + tan(y) //
$$- i e^{- \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 2 \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)}} \sin{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{re}{\left(x\right)} \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \operatorname{im}{\left(x\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \right)} + e^{- \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 2 \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)}} \cos{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{re}{\left(x\right)} \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \operatorname{im}{\left(x\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \right)}$$
producto
                                                                                                                            /      x       \     2      /      x       \     2      /      x       \             /      x       \                  /      x       \     2      /      x       \     2      /      x       \             /      x       \                                                                                                                           
                                                                                                                      - 2*re|--------------| + im (x)*re|--------------| - re (x)*re|--------------| + 2*im(x)*im|--------------|*re(x)      - 2*re|--------------| + im (x)*re|--------------| - re (x)*re|--------------| + 2*im(x)*im|--------------|*re(x)                                                                                                                     
                                                                                                                            |  ____________|            |  ____________|            |  ____________|             |  ____________|                  |  ____________|            |  ____________|            |  ____________|             |  ____________|                                                                                                                           
   /    /      x       \     2      /      x       \     2      /      x       \                   /      x       \\        \\/ y + tan(y) /            \\/ y + tan(y) /            \\/ y + tan(y) /             \\/ y + tan(y) /                  \\/ y + tan(y) /            \\/ y + tan(y) /            \\/ y + tan(y) /             \\/ y + tan(y) /          /    /      x       \     2      /      x       \     2      /      x       \                   /      x       \\
cos|2*im|--------------| + re (x)*im|--------------| - im (x)*im|--------------| + 2*im(x)*re(x)*re|--------------||*e                                                                                                                  - I*e                                                                                                                 *sin|2*im|--------------| + re (x)*im|--------------| - im (x)*im|--------------| + 2*im(x)*re(x)*re|--------------||
   |    |  ____________|            |  ____________|            |  ____________|                   |  ____________||                                                                                                                                                                                                                                              |    |  ____________|            |  ____________|            |  ____________|                   |  ____________||
   \    \\/ y + tan(y) /            \\/ y + tan(y) /            \\/ y + tan(y) /                   \\/ y + tan(y) //                                                                                                                                                                                                                                              \    \\/ y + tan(y) /            \\/ y + tan(y) /            \\/ y + tan(y) /                   \\/ y + tan(y) //
$$- i e^{- \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 2 \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)}} \sin{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{re}{\left(x\right)} \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \operatorname{im}{\left(x\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \right)} + e^{- \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 2 \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)}} \cos{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{re}{\left(x\right)} \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \operatorname{im}{\left(x\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \right)}$$
=
                                                                                                                                                                                                                                                         /      x       \     2      /      x       \     2      /      x       \             /      x       \      
                                                                                                                                                                                                                                                   - 2*re|--------------| + im (x)*re|--------------| - re (x)*re|--------------| + 2*im(x)*im|--------------|*re(x)
                                                                                                                                                                                                                                                         |  ____________|            |  ____________|            |  ____________|             |  ____________|      
/       /    /      x       \     2      /      x       \     2      /      x       \                   /      x       \\      /    /      x       \     2      /      x       \     2      /      x       \                   /      x       \\\        \\/ y + tan(y) /            \\/ y + tan(y) /            \\/ y + tan(y) /             \\/ y + tan(y) /      
|- I*sin|2*im|--------------| + re (x)*im|--------------| - im (x)*im|--------------| + 2*im(x)*re(x)*re|--------------|| + cos|2*im|--------------| + re (x)*im|--------------| - im (x)*im|--------------| + 2*im(x)*re(x)*re|--------------|||*e                                                                                                                 
|       |    |  ____________|            |  ____________|            |  ____________|                   |  ____________||      |    |  ____________|            |  ____________|            |  ____________|                   |  ____________|||                                                                                                                   
\       \    \\/ y + tan(y) /            \\/ y + tan(y) /            \\/ y + tan(y) /                   \\/ y + tan(y) //      \    \\/ y + tan(y) /            \\/ y + tan(y) /            \\/ y + tan(y) /                   \\/ y + tan(y) ///                                                                                                                   
$$\left(- i \sin{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{re}{\left(x\right)} \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \operatorname{im}{\left(x\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \right)} + \cos{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{re}{\left(x\right)} \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \operatorname{im}{\left(x\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \right)}\right) e^{- \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 2 \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)}}$$
(-i*sin(2*im(x/sqrt(y + tan(y))) + re(x)^2*im(x/sqrt(y + tan(y))) - im(x)^2*im(x/sqrt(y + tan(y))) + 2*im(x)*re(x)*re(x/sqrt(y + tan(y)))) + cos(2*im(x/sqrt(y + tan(y))) + re(x)^2*im(x/sqrt(y + tan(y))) - im(x)^2*im(x/sqrt(y + tan(y))) + 2*im(x)*re(x)*re(x/sqrt(y + tan(y)))))*exp(-2*re(x/sqrt(y + tan(y))) + im(x)^2*re(x/sqrt(y + tan(y))) - re(x)^2*re(x/sqrt(y + tan(y))) + 2*im(x)*im(x/sqrt(y + tan(y)))*re(x))
Respuesta rápida [src]
                                                                                                                                 /      x       \     2      /      x       \     2      /      x       \             /      x       \                  /      x       \     2      /      x       \     2      /      x       \             /      x       \                                                                                                                           
                                                                                                                           - 2*re|--------------| + im (x)*re|--------------| - re (x)*re|--------------| + 2*im(x)*im|--------------|*re(x)      - 2*re|--------------| + im (x)*re|--------------| - re (x)*re|--------------| + 2*im(x)*im|--------------|*re(x)                                                                                                                     
                                                                                                                                 |  ____________|            |  ____________|            |  ____________|             |  ____________|                  |  ____________|            |  ____________|            |  ____________|             |  ____________|                                                                                                                           
        /    /      x       \     2      /      x       \     2      /      x       \                   /      x       \\        \\/ y + tan(y) /            \\/ y + tan(y) /            \\/ y + tan(y) /             \\/ y + tan(y) /                  \\/ y + tan(y) /            \\/ y + tan(y) /            \\/ y + tan(y) /             \\/ y + tan(y) /          /    /      x       \     2      /      x       \     2      /      x       \                   /      x       \\
z1 = cos|2*im|--------------| + re (x)*im|--------------| - im (x)*im|--------------| + 2*im(x)*re(x)*re|--------------||*e                                                                                                                  - I*e                                                                                                                 *sin|2*im|--------------| + re (x)*im|--------------| - im (x)*im|--------------| + 2*im(x)*re(x)*re|--------------||
        |    |  ____________|            |  ____________|            |  ____________|                   |  ____________||                                                                                                                                                                                                                                              |    |  ____________|            |  ____________|            |  ____________|                   |  ____________||
        \    \\/ y + tan(y) /            \\/ y + tan(y) /            \\/ y + tan(y) /                   \\/ y + tan(y) //                                                                                                                                                                                                                                              \    \\/ y + tan(y) /            \\/ y + tan(y) /            \\/ y + tan(y) /                   \\/ y + tan(y) //
$$z_{1} = - i e^{- \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 2 \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)}} \sin{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{re}{\left(x\right)} \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \operatorname{im}{\left(x\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \right)} + e^{- \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 2 \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)}} \cos{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{re}{\left(x\right)} \operatorname{re}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \operatorname{im}{\left(x\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} + 2 \operatorname{im}{\left(\frac{x}{\sqrt{y + \tan{\left(y \right)}}}\right)} \right)}$$
z1 = -i*exp(-re(x)^2*re(x/sqrt(y + tan(y))) + 2*re(x)*im(x)*im(x/sqrt(y + tan(y))) + re(x/sqrt(y + tan(y)))*im(x)^2 - 2*re(x/sqrt(y + tan(y))))*sin(re(x)^2*im(x/sqrt(y + tan(y))) + 2*re(x)*re(x/sqrt(y + tan(y)))*im(x) - im(x)^2*im(x/sqrt(y + tan(y))) + 2*im(x/sqrt(y + tan(y)))) + exp(-re(x)^2*re(x/sqrt(y + tan(y))) + 2*re(x)*im(x)*im(x/sqrt(y + tan(y))) + re(x/sqrt(y + tan(y)))*im(x)^2 - 2*re(x/sqrt(y + tan(y))))*cos(re(x)^2*im(x/sqrt(y + tan(y))) + 2*re(x)*re(x/sqrt(y + tan(y)))*im(x) - im(x)^2*im(x/sqrt(y + tan(y))) + 2*im(x/sqrt(y + tan(y))))