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a\cos(n\theta )=r
Swap sides so that all variable terms are on the left hand side.
\cos(n\theta )a=r
The equation is in standard form.
\frac{\cos(n\theta )a}{\cos(n\theta )}=\frac{r}{\cos(n\theta )}
Divide both sides by \cos(n\theta ).
a=\frac{r}{\cos(n\theta )}
Dividing by \cos(n\theta ) undoes the multiplication by \cos(n\theta ).