Solve H/P=sinθ

$$\frac { H } { P } = \sin \theta$$

Solve for H

$$H=P\sin(\theta )$$

$$P\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{1}{P}H=\sin(\theta )$$

Divide both sides by P^{-1}.

$$\frac{\frac{1}{P}HP}{1}=\frac{\sin(\theta )P}{1}$$

Dividing by P^{-1} undoes the multiplication by P^{-1}.

$$H=\frac{\sin(\theta )P}{1}$$

Divide \sin(\theta ) by P^{-1}.

$$H=P\sin(\theta )$$

Solve for P

$$\left\{\begin{matrix}P=\frac{H}{\sin(\theta )}\text{, }&H\neq 0\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}\\P\neq 0\text{, }&\exists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}\text{ and }H=0\end{matrix}\right.$$

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.

$$H=P\sin(\theta )$$

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

$$P\sin(\theta )=H$$

The equation is in standard form.

$$\sin(\theta )P=H$$

Divide both sides by \sin(\theta ).

$$\frac{\sin(\theta )P}{\sin(\theta )}=\frac{H}{\sin(\theta )}$$

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

$$P=\frac{H}{\sin(\theta )}$$

Variable P cannot be equal to 0.

$$P=\frac{H}{\sin(\theta )}\text{, }P\neq 0$$