Solve x=y*cos(z)

$$x=y \times \cos ( z )$$

Solve for y

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

Steps for Solving Linear Equation

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

$$y\cos(z)=x$$

The equation is in standard form.

$$\cos(z)y=x$$

Divide both sides by \cos(z).

$$\frac{\cos(z)y}{\cos(z)}=\frac{x}{\cos(z)}$$

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

$$y=\frac{x}{\cos(z)}$$

Solve for x

$$x=y\cos(z)$$