$\left\{\begin{matrix}B=-\frac{-2\cos(A)-2AENS+1}{2AES\cos(A)}\text{, }&E\neq 0\text{ and }S\neq 0\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }A=\pi n_{1}+\frac{\pi }{2}\text{ and }A\neq 0\\B\in \mathrm{C}\text{, }&\left(S=\frac{-2\cos(A)+1}{2AEN}\text{ and }\exists n_{2}\in \mathrm{Z}\text{ : }\left(A=\frac{\pi \left(6n_{2}+5\right)}{3}\text{ or }A=\frac{\pi \left(6n_{2}+1\right)}{3}\right)\text{ and }N\neq 0\right)\text{ or }\left(S=\frac{-2\cos(A)+1}{2AEN}\text{ and }\exists n_{3}\in \mathrm{Z}\text{ : }A=\frac{\pi \left(2n_{3}+1\right)}{2}\text{ and }N\neq 0\text{ and }E\neq 0\right)\text{ or }\left(\exists n_{2}\in \mathrm{Z}\text{ : }\left(A=\frac{\pi \left(6n_{2}+5\right)}{3}\text{ or }A=\frac{\pi \left(6n_{2}+1\right)}{3}\right)\text{ and }N=0\text{ and }S=0\right)\text{ or }\left(\exists n_{2}\in \mathrm{Z}\text{ : }\left(A=\frac{\pi \left(6n_{2}+5\right)}{3}\text{ or }A=\frac{\pi \left(6n_{2}+1\right)}{3}\right)\text{ and }E=0\right)\end{matrix}\right.$

$\left\{\begin{matrix}B=-\frac{-2\cos(A)-2AENS+1}{2AES\cos(A)}\text{, }&\nexists n_{1}\in \mathrm{Z}\text{ : }A=\pi n_{1}+\frac{\pi }{2}\text{ and }A\neq 0\text{ and }E\neq 0\text{ and }S\neq 0\\B\in \mathrm{R}\text{, }&\left(E=-\frac{2\cos(A)-1}{2ANS}\text{ and }N\neq 0\text{ and }S\neq 0\text{ and }\exists n_{1}\in \mathrm{Z}\text{ : }A=\frac{\pi \left(2n_{1}+1\right)}{2}\right)\text{ or }\left(E\neq 0\text{ and }S=0\text{ and }N\neq 0\text{ and }\exists n_{2}\in \mathrm{Z}\text{ : }\left(A=\frac{\pi \left(6n_{2}+5\right)}{3}\text{ or }A=\frac{\pi \left(6n_{2}+1\right)}{3}\right)\right)\text{ or }\left(\exists n_{2}\in \mathrm{Z}\text{ : }\left(A=\frac{\pi \left(6n_{2}+5\right)}{3}\text{ or }A=\frac{\pi \left(6n_{2}+1\right)}{3}\right)\text{ and }N=0\text{ and }S=0\right)\text{ or }\left(\exists n_{2}\in \mathrm{Z}\text{ : }\left(A=\frac{\pi \left(6n_{2}+5\right)}{3}\text{ or }A=\frac{\pi \left(6n_{2}+1\right)}{3}\right)\text{ and }E=0\right)\end{matrix}\right.$