Solve OI=sin(a_{0})

$$O I = \sin ( a _ { 0 } )$$

Solve for I

$$\left\{\begin{matrix}I=\frac{\sin(a_{0})}{O}\text{, }&O\neq 0\\I\in \mathrm{R}\text{, }&\exists n_{1}\in \mathrm{Z}\text{ : }a_{0}=\pi n_{1}\text{ and }O=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$OI=\sin(a_{0})$$

Divide both sides by O.

$$\frac{OI}{O}=\frac{\sin(a_{0})}{O}$$

Dividing by O undoes the multiplication by O.

$$I=\frac{\sin(a_{0})}{O}$$

Solve for O

$$\left\{\begin{matrix}O=\frac{\sin(a_{0})}{I}\text{, }&I\neq 0\\O\in \mathrm{R}\text{, }&\exists n_{1}\in \mathrm{Z}\text{ : }a_{0}=\pi n_{1}\text{ and }I=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$IO=\sin(a_{0})$$

Divide both sides by I.

$$\frac{IO}{I}=\frac{\sin(a_{0})}{I}$$

Dividing by I undoes the multiplication by I.

$$O=\frac{\sin(a_{0})}{I}$$