Question

The point P(12, 16) is on the terminal side of θ. Evaluate tan θ.

Answer 1

tan(θ)=4/3

Explanation:

Since opposite leg of the reference triangle equals 16 and the adjacent leg equals 12, tan(θ)=16/12 simplified to tan(θ)=4/3.

Answer 2

`\bf \begin{array}{rllll} (12&,&16)\\ \uparrow &&\uparrow \\ x&&y \end{array}\quad tan(\theta)=\cfrac{y}{x}\qquad \qquad tan(\theta )=\cfrac{16}{12}\implies tan(\theta )=\cfrac{4}{3}`