what is the tangent of θ? tan θ = ? (1, 0) (-12/13, -5/13)

Explanation:

Step1: Recall tangent formula

For a point $(x,y)$ on the unit - circle corresponding to an angle $\theta$, $\tan\theta=\frac{y}{x}$.

Step2: Identify x and y values

Given the point $(-\frac{12}{13},-\frac{5}{13})$, $x =-\frac{12}{13}$ and $y =-\frac{5}{13}$.

Step3: Calculate tangent

$\tan\theta=\frac{y}{x}=\frac{-\frac{5}{13}}{-\frac{12}{13}}=\frac{5}{12}$.

Answer:

$\frac{5}{12}$