Solve y=tan(x^2)+cos(x)

$$y= \tan ( { x }^{ 2 } ) + \cos ( x )$$

Solve for y

$$\left\{\begin{matrix}y=\tan(x^{2})+\cos(x)\text{, }&\nexists n_{1}\in \mathrm{Z}\text{ : }x=\frac{\sqrt{4\pi n_{1}+2\pi }}{2}\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }x=-\frac{\sqrt{4\pi n_{1}+2\pi }}{2}\\y\in \mathrm{R}\text{, }&\cos(x)\cos(x^{2})+\sin(x^{2})=0\text{ and }\left(\exists n_{2}\in \mathrm{Z}\text{ : }x=-\frac{\sqrt{2\pi \left(2n_{2}+1\right)}}{2}\text{, }not(n_{2}<0)\text{ or }\exists n_{2}\in \mathrm{Z}\text{ : }x=\frac{\sqrt{2\pi \left(2n_{2}+1\right)}}{2}\text{, }not(n_{2}<0)\right)\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }x=\frac{\sqrt{2\pi \left(2n_{1}+1\right)}}{2}\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }x=-\frac{\sqrt{2\pi \left(2n_{1}+1\right)}}{2}\end{matrix}\right.$$