Solve {l}{6x=secθ}{6divx=tanθ}

$$\left. \begin{array} { l } { 6 x = \sec \theta } \\ { 6 \div x = \tan \theta } \end{array} \right.$$

Solve for x, θ

$$x=-\frac{\sqrt{2\sqrt{5185}+2}}{12}\text{, }n_{2}\in \mathrm{Z}\text{, }\nexists n_{1}\in \mathrm{Z}\text{ : }2\pi n_{2}+\arcsin(\frac{1-\sqrt{5185}}{72})+\pi =\frac{\pi \left(2n_{1}+1\right)}{2}\text{, }\theta =2\pi n_{2}+\arcsin(\frac{1-\sqrt{5185}}{72})+\pi \text{, }n_{2}\in \mathrm{Z}$$

$$x=\frac{\sqrt{2\sqrt{5185}+2}}{12}\text{, }n_{3}\in \mathrm{Z}\text{, }\nexists n_{1}\in \mathrm{Z}\text{ : }2\pi n_{3}-\arcsin(\frac{1-\sqrt{5185}}{72})=\frac{\pi \left(2n_{1}+1\right)}{2}\text{, }\theta =2\pi n_{3}-\arcsin(\frac{1-\sqrt{5185}}{72})\text{, }n_{3}\in \mathrm{Z}$$