## Trigonometry (10th Edition)

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