Solucionar cos(x^4)=y

$$\cos ( { x }^{ 4 } ) = y$$

Resolver para x

$$\left\{\begin{matrix}\\x=\sqrt[4]{-\arccos(y)+2\pi n_{2}}\text{, }n_{2}\in \mathrm{Z}\text{, }\left(y=1\text{ and }n_{2}\geq 0\right)\text{ or }\left(n_{2}\geq 1\text{ and }|y|\leq 1\right)\text{; }x=-\sqrt[4]{-\arccos(y)+2\pi n_{2}}\text{, }n_{2}\in \mathrm{Z}\text{, }\left(y=1\text{ and }n_{2}\geq 0\right)\text{ or }\left(n_{2}\geq 1\text{ and }|y|\leq 1\right)\text{, }&\text{unconditionally}\\x=0\text{, }&y=1\\x=-\sqrt[4]{\arccos(y)+2\pi n_{1}}\text{, }n_{1}\in \mathrm{Z}\text{, }n_{1}\geq 0\text{; }x=\sqrt[4]{\arccos(y)+2\pi n_{1}}\text{, }n_{1}\in \mathrm{Z}\text{, }n_{1}\geq 0\text{, }&|y|\leq 1\end{matrix}\right,$$

Resolver para y

$$y=\cos(x^{4})$$