Rezolvați y=sin(x^2)

$$y = \sin ( { x }^{ 2 } )$$

Rezolvați pentru x

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

Rezolvați pentru y

$$y=\sin(x^{2})$$