Solve for a
\left\{\begin{matrix}a=\frac{r}{\sin(3ϕ)}\text{, }&\nexists n_{1}\in \mathrm{Z}\text{ : }ϕ=\frac{\pi n_{1}}{3}\\a\in \mathrm{R}\text{, }&r=0\text{ and }\exists n_{1}\in \mathrm{Z}\text{ : }ϕ=\frac{\pi n_{1}}{3}\end{matrix}\right.
Solve for r
r=a\sin(3ϕ)
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a\sin(3ϕ)=r
Swap sides so that all variable terms are on the left hand side.
\sin(3ϕ)a=r
The equation is in standard form.
\frac{\sin(3ϕ)a}{\sin(3ϕ)}=\frac{r}{\sin(3ϕ)}
Divide both sides by \sin(3ϕ).
a=\frac{r}{\sin(3ϕ)}
Dividing by \sin(3ϕ) undoes the multiplication by \sin(3ϕ).
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