Solve xsin(θ)=x

$$x \sin ( \theta ) =x$$

Solve for x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&\exists n_{1}\in \mathrm{Z}\text{ : }\theta =2\pi n_{1}+\frac{\pi }{2}\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$x\sin(\theta )-x=0$$

Combine all terms containing x.

$$\left(\sin(\theta )-1\right)x=0$$

Divide 0 by \sin(\theta )-1.

$$x=0$$

Solve for θ

$$\left\{\begin{matrix}\\\theta =2\pi n_{1}+\frac{\pi }{2}\text{, }n_{1}\in \mathrm{Z}\text{, }&\text{unconditionally}\\\theta \in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$