Answer
$\sin\theta=\frac{y}{r}=\frac{5}{\sqrt {34}}=\frac{5\sqrt {34}}{34}$
$\cos\theta=\frac{x}{r}=\frac{-3}{\sqrt {34}}=\frac{-3\sqrt {34}}{34}$
$\tan\theta=\frac{y}{x}=\frac{5}{-3}$
$\csc\theta=\frac{1}{\sin\theta}=-\frac{\sqrt {34}}{5}$
$\sec\theta=\frac{1}{\cos\theta}=\frac{\sqrt {34}}{-3}$
$\cot\theta=\frac{1}{\tan\theta}=\frac{-3}{5}$
Work Step by Step
$x=-3$
$y=5$
$r=\sqrt {(-3)^{2}+(5)^{2}}=\sqrt {9+25}=\sqrt {34}$
