Solve sinθ=pR/pθ

$$\sin \theta = \frac { p R } { p \theta }$$

Solve for R

$$R=\theta \sin(\theta )$$

$$p\neq 0\text{ and }\theta \neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by p\theta .

$$p\theta \sin(\theta )=pR$$

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

$$pR=p\theta \sin(\theta )$$

Divide both sides by p.

$$\frac{pR}{p}=\frac{p\theta \sin(\theta )}{p}$$

Dividing by p undoes the multiplication by p.

$$R=\frac{p\theta \sin(\theta )}{p}$$

Divide p\theta \sin(\theta ) by p.

$$R=\theta \sin(\theta )$$

Solve for p

$$p\neq 0$$

$$R=\theta \sin(\theta )\text{ and }\theta \neq 0$$

Steps for Solving Linear Equation

Variable p cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by p\theta .

$$p\theta \sin(\theta )=pR$$

Subtract pR from both sides.

$$p\theta \sin(\theta )-pR=0$$

Combine all terms containing p.

$$\left(\theta \sin(\theta )-R\right)p=0$$

Divide 0 by \theta \sin(\theta )-R.

$$p=0$$

Variable p cannot be equal to 0.

$$p\in \emptyset$$