Solve for a
\left\{\begin{matrix}a=\frac{P}{\cos(5\theta )}\text{, }&\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\frac{\pi n_{1}}{5}+\frac{\pi }{10}\\a\in \mathrm{R}\text{, }&P=0\text{ and }\exists n_{1}\in \mathrm{Z}\text{ : }\theta =\frac{\pi n_{1}}{5}+\frac{\pi }{10}\end{matrix}\right.
Solve for P
P=a\cos(5\theta )
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a\cos(5\theta )=P
Swap sides so that all variable terms are on the left hand side.
\cos(5\theta )a=P
The equation is in standard form.
\frac{\cos(5\theta )a}{\cos(5\theta )}=\frac{P}{\cos(5\theta )}
Divide both sides by \cos(5\theta ).
a=\frac{P}{\cos(5\theta )}
Dividing by \cos(5\theta ) undoes the multiplication by \cos(5\theta ).
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