Answer
$\tan\theta=-\frac{4}{3}$
$\cot\theta=-\frac{3}{4}$
$\csc\theta=\frac{5}{4}$
$\sec\theta=-\frac{5}{3}$
Work Step by Step
The remaining four trigonomteric functions are:
$\tan\theta=\dfrac{\sin\theta}{\cos\theta}=\dfrac{\frac{4}{5}}{\frac{-3}{5}}=-\dfrac{4}{3}$
$\cot\theta=\dfrac{\cos\theta}{\sin\theta}=\dfrac{\frac{-3}{5}}{\frac{4}{5}}=-\dfrac{3}{4}$
$\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{4}{5}}=\dfrac{5}{4}$
$\sec\theta=\dfrac{1}{\cos\theta}=\dfrac{1}{\frac{-3}{5}}=-\dfrac{5}{3}$
