Answer
$\sin\theta=\frac{y}{r}=\frac{6}{\sqrt {61}}=\frac{6\sqrt {61}}{61}$
$\cos\theta=\frac{x}{r}=\frac{5}{\sqrt {61}}=\frac{5\sqrt {61}}{61}$
$\tan\theta=\frac{y}{x}=\frac{6}{5}$
$\csc\theta=\frac{1}{\sin\theta}=\frac{\sqrt {61}}{6}$
$\sec\theta=\frac{1}{\cos\theta}=\frac{\sqrt {61}}{5}$
$\cot\theta=\frac{1}{\tan\theta}=\frac{5}{6}$
Work Step by Step
$x=5$
$y=6$
$r=\sqrt {(5)^{2}+(6)^{2}}=\sqrt {25+36}=\sqrt {61}$
