Answer
$\sin\theta=\frac{y}{r}=\frac{11}{2\sqrt {3}}=\frac{11\sqrt {3}}{6}$
$\cos\theta=\frac{x}{r}=\frac{1}{2\sqrt {3}}=\frac{\sqrt {3}}{6}$
$\tan\theta=\frac{y}{x}=\frac{11}{1}=11$
$\csc\theta=\frac{1}{\sin\theta}=\frac{2\sqrt {3}}{11}$
$\sec\theta=\frac{1}{\cos\theta}=2\sqrt {3}$
$\cot\theta=\frac{1}{\tan\theta}=\frac{1}{11}$
Work Step by Step
$x=1$
$y=11$
$r=\sqrt {(1)^{2}+(11)^{2}}=\sqrt {1+11}=\sqrt {12}=2 \sqrt 3$
