Answer
$\sin\theta=\frac{y}{r}=\frac{0}{5}=0$
$\cos\theta=\frac{x}{r}=\frac{-5}{5}=-1$
$\tan\theta=\frac{y}{x}=\frac{0}{-5}=0$
$\csc\theta=\frac{r}{y}=\frac{5}{0}=undefined$
$\sec\theta=\frac{r}{x}=\frac{5}{-5}=-1$
$\cot\theta=\frac{x}{y}=\frac{-5}{0}=undefined$
Work Step by Step
$x=-5$
$y=0$
$r=\sqrt{(-5)^{2}+(0)^{2}}=\sqrt {25+0}= 5$