Solve x/5=cos(θ)

$$\frac{ x }{ 5 } = \cos ( \theta )$$

Solve for x

$$x=5\cos(\theta )$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{1}{5}x=\cos(\theta )$$

Multiply both sides by 5.

$$\frac{\frac{1}{5}x}{\frac{1}{5}}=\frac{\cos(\theta )}{\frac{1}{5}}$$

Dividing by \frac{1}{5} undoes the multiplication by \frac{1}{5}.

$$x=\frac{\cos(\theta )}{\frac{1}{5}}$$

Divide \cos(\theta ) by \frac{1}{5} by multiplying \cos(\theta ) by the reciprocal of \frac{1}{5}.

$$x=5\cos(\theta )$$

Solve for θ

$$\theta =-\arccos(\frac{x}{5})+2\pi n_{1}\text{, }n_{1}\in \mathrm{Z}$$

$$\theta =\arccos(\frac{x}{5})+2\pi n_{2}\text{, }n_{2}\in \mathrm{Z}\text{, }|x|\leq 5$$