Answer
$\tan\theta$ = -$\frac{3}{4}$
Work Step by Step
Ratio identity for $\tan\theta$ is-
$\tan\theta$ = $\frac{\sin\theta}{\cos\theta}$
Substituting given values of $\sin\theta$ and $\cos\theta$-
$\tan\theta$ = $\frac{\frac{3}{5}}{-\frac{4}{5}}$
= -$\frac{3 \times 5}{5\times4}$ = -$\frac{3}{4}$
or $\tan\theta$ = -$\frac{3}{4}$
