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