$\left\{\begin{matrix}E=\frac{\cot(x)\left(\sin(x)+1\right)}{NSx}\text{, }&N\neq 0\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}\text{ and }S\neq 0\\E\in \mathrm{R}\text{, }&\exists n_{2}\in \mathrm{Z}\text{ : }x=\pi n_{2}+\frac{\pi }{2}\text{ and }\left(\left(\exists n_{2}\in \mathrm{Z}\text{ : }x=\pi n_{2}+\frac{\pi }{2}\text{ and }N=0\right)\text{ or }S=0\right)\end{matrix}\right.$

$\left\{\begin{matrix}N=\frac{\cot(x)\left(\sin(x)+1\right)}{ESx}\text{, }&E\neq 0\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}\text{ and }S\neq 0\\N\in \mathrm{R}\text{, }&\exists n_{2}\in \mathrm{Z}\text{ : }x=\pi n_{2}+\frac{\pi }{2}\text{ and }\left(\left(\exists n_{2}\in \mathrm{Z}\text{ : }x=\pi n_{2}+\frac{\pi }{2}\text{ and }E=0\right)\text{ or }S=0\right)\end{matrix}\right.$