Answer
$\sin\theta=\frac{y}{r}=\frac{-4}{4}=-1$
$\cos\theta=\frac{x}{r}=\frac{0}{4}=0$
$\tan\theta=\frac{y}{x}=\frac{-4}{0}=undefined$
$\csc\theta=\frac{r}{y}=\frac{4}{-4}=-1$
$\sec\theta=\frac{r}{x}=\frac{4}{0}=undefined$
$\cot\theta=\frac{x}{y}=\frac{0}{-4}=0$
Work Step by Step
$x=0$
$y=-4$
$r=\sqrt{(0)^{2}+(-4)^{2}}=\sqrt {0+16}= 4$
