## Trigonometry 7th Edition

$\tan\theta$ = -$\frac{3}{4}$
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 $\tan\theta$ = -$\frac{3}{4}$