$\left\{\begin{matrix}x=\pi n_{1}-\frac{i\ln(\frac{2\sqrt{10}+7}{3})}{2}+\frac{\pi }{2}\text{, }n_{1}\in \mathrm{Z}\text{; }x=\pi n_{2}-\frac{i\ln(\frac{7-2\sqrt{10}}{3})}{2}+\frac{\pi }{2}\text{, }n_{2}\in \mathrm{Z}\text{, }&y=0\\x=-\frac{i\ln(\frac{-2\sqrt{y^{4}-7y^{2}+10}+2y^{2}-7}{3})}{2}+\pi n_{3}\text{, }n_{3}\in \mathrm{Z}\text{; }x=-\frac{i\ln(\frac{2\sqrt{y^{4}-7y^{2}+10}+2y^{2}-7}{3})}{2}+\pi n_{4}\text{, }n_{4}\in \mathrm{Z}\text{, }&arg(y)<\pi \text{ and }y\neq 0\end{matrix}\right.$

$y=\frac{\sqrt{2\left(3\cos(2x)+7\right)}}{2}$

$y=\sqrt{-3\left(\sin(x)\right)^{2}+5}$