Solve ucosθ=x/pi

$$u \cos \theta = \frac { x } { \pi }$$

Solve for u

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

Steps for Solving Linear Equation

The equation is in standard form.

$$\cos(\theta )u=\frac{x}{\pi }$$

Divide both sides by \cos(\theta ).

$$\frac{\cos(\theta )u}{\cos(\theta )}=\frac{x}{\pi \cos(\theta )}$$

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

$$u=\frac{x}{\pi \cos(\theta )}$$

Solve for x

$$x=\pi u\cos(\theta )$$

Steps for Solving Linear Equation

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

$$\frac{x}{\pi }=u\cos(\theta )$$

The equation is in standard form.

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

Divide both sides by \pi ^{-1}.

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

Dividing by \pi ^{-1} undoes the multiplication by \pi ^{-1}.

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

Divide u\cos(\theta ) by \pi ^{-1}.

$$x=\pi u\cos(\theta )$$