Answer
$sin\theta=\frac{\sqrt 5}{5}$,
$cos\theta=\frac{2\sqrt {5}}{5}$,
$tan\theta=\frac{1}{2}$,
$cot\theta=2$,
$sec\theta=\frac{\sqrt {5}}{2}$,
$csc\theta=\sqrt 5$.
Work Step by Step
Given $r=\sqrt 5,x=2$, find the missing side $y=\sqrt {5-4}=1$, we have:
$sin\theta=\frac{\sqrt 5}{5}$,
$cos\theta=\frac{2\sqrt {5}}{5}$,
$tan\theta=\frac{1}{2}$,
$cot\theta=2$,
$sec\theta=\frac{\sqrt {5}}{2}$,
$csc\theta=\sqrt 5$.
