Solve gamma=acosθ

$$\gamma = a \cos \theta$$

Solve for a

$$\left\{\begin{matrix}a=\frac{\gamma }{\cos(\theta )}\text{, }&\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}+\frac{\pi }{2}\\a\in \mathrm{R}\text{, }&\gamma =0\text{ and }\exists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}+\frac{\pi }{2}\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$a\cos(\theta )=\gamma$$

The equation is in standard form.

$$\cos(\theta )a=\gamma$$

Divide both sides by \cos(\theta ).

$$\frac{\cos(\theta )a}{\cos(\theta )}=\frac{\gamma }{\cos(\theta )}$$

Dividing by \cos(\theta ) undoes the multiplication by \cos(\theta ).

$$a=\frac{\gamma }{\cos(\theta )}$$

Solve for γ

$$\gamma =a\cos(\theta )$$