Solve for a
\left\{\begin{matrix}a=\frac{\rho }{\sin(\theta )}\text{, }&\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}\\a\in \mathrm{R}\text{, }&\rho =0\text{ and }\exists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}\end{matrix}\right.
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a\sin(\theta )=\rho
Swap sides so that all variable terms are on the left hand side.
\sin(\theta )a=\rho
The equation is in standard form.
\frac{\sin(\theta )a}{\sin(\theta )}=\frac{\rho }{\sin(\theta )}
Divide both sides by \sin(\theta ).
a=\frac{\rho }{\sin(\theta )}
Dividing by \sin(\theta ) undoes the multiplication by \sin(\theta ).
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