Solve for g (complex solution)
\left\{\begin{matrix}g=-\frac{\ln(\cos(x))+\ln(2)}{\ln(10)\sin(x)}\text{, }&\nexists n_{4}\in \mathrm{Z}\text{ : }x=\frac{\pi n_{4}}{2}\\g\in \mathrm{C}\text{, }&\exists n_{3}\in \mathrm{Z}\text{ : }\left(x=2\pi n_{3}+\frac{5\pi }{3}\text{ or }x=2\pi n_{3}+\frac{\pi }{3}\right)\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}+\frac{\pi }{2}\text{ and }\exists n_{2}\in \mathrm{Z}\text{ : }x=\pi n_{2}\end{matrix}\right.
Solve for g
g=-\frac{\ln(\cos(x))+\ln(2)}{\ln(10)\sin(x)}
\nexists n_{2}\in \mathrm{Z}\text{ : }x=\pi n_{2}\text{ and }\exists n_{1}\in \mathrm{Z}\text{ : }\left(x>2\pi n_{1}-\frac{\pi }{2}\text{ and }x<2\pi n_{1}+\frac{\pi }{2}\right)
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