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z=arcsin^(3)((xy)/2) la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
        3/x*y\
z = asin |---|
         \ 2 /
z=asin⁡3(xy2)z = \operatorname{asin}^{3}{\left(\frac{x y}{2} \right)}
Simplificar
Solución detallada
Tenemos la ecuación:
z=asin⁡3(xy2)z = \operatorname{asin}^{3}{\left(\frac{x y}{2} \right)}
cambiamos:
z=asin⁡3(xy2)z = \operatorname{asin}^{3}{\left(\frac{x y}{2} \right)}
Abrimos los paréntesis en el miembro derecho de la ecuación
z = asinx*y/2^3

Obtenemos la respuesta: z = asin(x*y/2)^3
Gráfica
Suma y producto de raíces [src] 
suma
  3/    /x*y\\     /    3/    /x*y\\       2/    /x*y\\   /    /x*y\\\       2/    /x*y\\   /    /x*y\\
re |asin|---|| + I*|- im |asin|---|| + 3*re |asin|---||*im|asin|---||| - 3*im |asin|---||*re|asin|---||
   \    \ 2 //     \     \    \ 2 //        \    \ 2 //   \    \ 2 ///        \    \ 2 //   \    \ 2 //
i(3(re⁡(asin⁡(xy2)))2im⁡(asin⁡(xy2))−(im⁡(asin⁡(xy2)))3)+(re⁡(asin⁡(xy2)))3−3re⁡(asin⁡(xy2))(im⁡(asin⁡(xy2)))2i \left(3 \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)}\right)^{2} \operatorname{im}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)} - \left(\operatorname{im}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)}\right)^{3}\right) + \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)}\right)^{3} - 3 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)} \left(\operatorname{im}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)}\right)^{2} 
=
  3/    /x*y\\     /    3/    /x*y\\       2/    /x*y\\   /    /x*y\\\       2/    /x*y\\   /    /x*y\\
re |asin|---|| + I*|- im |asin|---|| + 3*re |asin|---||*im|asin|---||| - 3*im |asin|---||*re|asin|---||
   \    \ 2 //     \     \    \ 2 //        \    \ 2 //   \    \ 2 ///        \    \ 2 //   \    \ 2 //
i(3(re⁡(asin⁡(xy2)))2im⁡(asin⁡(xy2))−(im⁡(asin⁡(xy2)))3)+(re⁡(asin⁡(xy2)))3−3re⁡(asin⁡(xy2))(im⁡(asin⁡(xy2)))2i \left(3 \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)}\right)^{2} \operatorname{im}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)} - \left(\operatorname{im}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)}\right)^{3}\right) + \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)}\right)^{3} - 3 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)} \left(\operatorname{im}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)}\right)^{2} 
producto
  3/    /x*y\\     /    3/    /x*y\\       2/    /x*y\\   /    /x*y\\\       2/    /x*y\\   /    /x*y\\
re |asin|---|| + I*|- im |asin|---|| + 3*re |asin|---||*im|asin|---||| - 3*im |asin|---||*re|asin|---||
   \    \ 2 //     \     \    \ 2 //        \    \ 2 //   \    \ 2 ///        \    \ 2 //   \    \ 2 //
i(3(re⁡(asin⁡(xy2)))2im⁡(asin⁡(xy2))−(im⁡(asin⁡(xy2)))3)+(re⁡(asin⁡(xy2)))3−3re⁡(asin⁡(xy2))(im⁡(asin⁡(xy2)))2i \left(3 \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)}\right)^{2} \operatorname{im}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)} - \left(\operatorname{im}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)}\right)^{3}\right) + \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)}\right)^{3} - 3 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)} \left(\operatorname{im}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)}\right)^{2} 
=
  3/    /x*y\\       2/    /x*y\\   /    /x*y\\     /    2/    /x*y\\       2/    /x*y\\\   /    /x*y\\
re |asin|---|| - 3*im |asin|---||*re|asin|---|| + I*|- im |asin|---|| + 3*re |asin|---|||*im|asin|---||
   \    \ 2 //        \    \ 2 //   \    \ 2 //     \     \    \ 2 //        \    \ 2 ///   \    \ 2 //
i(3(re⁡(asin⁡(xy2)))2−(im⁡(asin⁡(xy2)))2)im⁡(asin⁡(xy2))+(re⁡(asin⁡(xy2)))3−3re⁡(asin⁡(xy2))(im⁡(asin⁡(xy2)))2i \left(3 \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)}\right)^{2} - \left(\operatorname{im}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)}\right)^{2}\right) \operatorname{im}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)} + \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)}\right)^{3} - 3 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)} \left(\operatorname{im}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)}\right)^{2} 
re(asin(x*y/2))^3 - 3*im(asin(x*y/2))^2*re(asin(x*y/2)) + i*(-im(asin(x*y/2))^2 + 3*re(asin(x*y/2))^2)*im(asin(x*y/2))
Respuesta rápida [src] 
       3/    /x*y\\     /    3/    /x*y\\       2/    /x*y\\   /    /x*y\\\       2/    /x*y\\   /    /x*y\\
z1 = re |asin|---|| + I*|- im |asin|---|| + 3*re |asin|---||*im|asin|---||| - 3*im |asin|---||*re|asin|---||
        \    \ 2 //     \     \    \ 2 //        \    \ 2 //   \    \ 2 ///        \    \ 2 //   \    \ 2 //
z1=i(3(re⁡(asin⁡(xy2)))2im⁡(asin⁡(xy2))−(im⁡(asin⁡(xy2)))3)+(re⁡(asin⁡(xy2)))3−3re⁡(asin⁡(xy2))(im⁡(asin⁡(xy2)))2z_{1} = i \left(3 \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)}\right)^{2} \operatorname{im}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)} - \left(\operatorname{im}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)}\right)^{3}\right) + \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)}\right)^{3} - 3 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)} \left(\operatorname{im}{\left(\operatorname{asin}{\left(\frac{x y}{2} \right)}\right)}\right)^{2} 
z1 = i*(3*re(asin(x*y/2))^2*im(asin(x*y/2)) - im(asin(x*y/2))^3) + re(asin(x*y/2))^3 - 3*re(asin(x*y/2))*im(asin(x*y/2))^2
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