פתור את y=tanθsinθ

$$y = \tan \theta \sin \theta$$

פתור עבור y (complex solution)

$$y=-\frac{\cos(2\theta )-1}{2\cos(\theta )}$$

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

פתור עבור y

$$y=\sin(\theta )\tan(\theta )$$

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

פתור עבור θ

$$\left\{\begin{matrix}\theta =-\arccos(\frac{-\sqrt{y^{2}+4}+y}{2})+2\pi n_{3}+\pi \text{, }n_{3}\in \mathrm{Z}\text{; }\theta =\arccos(\frac{-\sqrt{y^{2}+4}+y}{2})+2\pi n_{4}-\pi \text{, }n_{4}\in \mathrm{Z}\text{, }&y\geq 0\\\theta =-\arccos(\frac{\sqrt{y^{2}+4}+y}{2})+2\pi n_{1}+\pi \text{, }n_{1}\in \mathrm{Z}\text{; }\theta =\arccos(\frac{\sqrt{y^{2}+4}+y}{2})+2\pi n_{2}-\pi \text{, }n_{2}\in \mathrm{Z}\text{, }&y\leq 0\end{matrix}\right.$$