Answer
$\sin\theta=\frac{y}{r}=\frac{-\sqrt {3}}{2}$
$\cos\theta=\frac{x}{r}=\frac{-1}{2}$
$\tan\theta=\frac{y}{x}=\frac{-\sqrt {3}}{-1}=-\sqrt 3$
$\csc\theta=\frac{1}{\sin\theta}=\frac{2}{-\sqrt {3}}=-\frac{2\sqrt 3}{3}$
$\sec\theta=\frac{1}{\cos\theta}=\frac{2}{-1}=-2$
$\cot\theta=\frac{1}{\tan\theta}=\frac{1}{\sqrt {3}}=\frac{\sqrt {3}}{3}$
Work Step by Step
$x=1$
$y=-\sqrt {3}$
$r=\sqrt {(1)^{2}+(-\sqrt {3})^{2}}=\sqrt {1+3}=2=$
