Answer
$\sin\theta=\frac{y}{r}=\frac{6}{\sqrt {37}}=\frac{6\sqrt {37}}{37}$
$\cos\theta=\frac{x}{r}=\frac{-1}{\sqrt {37}}=\frac{-\sqrt {37}}{37}$
$\tan\theta=\frac{y}{x}=\frac{6}{-1}=-6$
$\csc\theta=\frac{1}{\sin\theta}=\frac{\sqrt {37}}{6}$
$\sec\theta=\frac{1}{\cos\theta}=\frac{\sqrt {37}}{-1}=-\sqrt {37}$
$\cot\theta=\frac{1}{\tan\theta}=-\frac{1}{6}$
Work Step by Step
$x=-1$
$y=6$
$r=\sqrt {(-1)^{2}+(6)^{2}}=\sqrt {1+36}=\sqrt {37}$
