y=tan(θ)/e/frac{pi{x}} lösen

$$y= \frac{ \frac{ \tan ( \theta ) }{ e } }{ \frac{ \pi }{ x } }$$

Nach x auflösen

$$\left\{\begin{matrix}x=e\pi y\cot(\theta )\text{, }&\exists n_{3}\in \mathrm{Z}\text{ : }\left(\theta >\frac{\pi n_{3}}{2}\text{ and }\theta <\frac{\pi n_{3}}{2}+\frac{\pi }{2}\right)\text{ and }y\neq 0\\x\neq 0\text{, }&y=0\text{ and }\exists n_{2}\in \mathrm{Z}\text{ : }\theta =\pi n_{2}\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}+\frac{\pi }{2}\end{matrix}\right,$$

Nach y auflösen

$$y=\frac{x\tan(\theta )}{e\pi }$$

$$\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}+\frac{\pi }{2}\text{ and }x\neq 0$$