Answer
$\sin\theta=\frac{y}{r}=\frac{15}{17}$
$\cos\theta=\frac{x}{r}=\frac{-8}{17}$
$\tan\theta=\frac{y}{x}=\frac{15}{-8}$
$\csc\theta=\frac{r}{y}=\frac{17}{15}$
$\sec\theta=\frac{r}{x}=\frac{17}{-8}$
$\cot\theta=\frac{x}{y}=\frac{-8}{15}$
Work Step by Step
$x=-8$
$y=15$
$r=\sqrt{(-8)^{2}+(15)^{2}}=\sqrt {64+225}= 17$