Answer
$\tan\theta$ = $\frac{12}{5}$
Work Step by Step
Ratio identity for $\tan\theta$ is-
$\tan\theta$ = $\frac{\sin\theta}{\cos\theta}$
Substituting given values of $\sin\theta$ and $\cos\theta$-
$\tan\theta$ = $\frac{-\frac{12}{13}}{-\frac{5}{13}}$
= $\frac{12 \times 13}{13\times 5}$ = $\frac{12}{5}$
or $\tan\theta$ = $\frac{12}{5}$
