Answer
$sin\theta=\frac{\sqrt 3}{2}$,
$cos\theta=\frac{1}{2}$,
$tan\theta= \sqrt 3 $,
$cot\theta=\frac{\sqrt 3}{3}$,
$sec\theta=2$,
$csc\theta=\frac{2\sqrt 3}{3}$.
Work Step by Step
Given $x=2, r=4$, find the missing side $y=\sqrt {4^2-2^2}=2\sqrt 3$, we have:
$sin\theta=\frac{\sqrt 3}{2}$,
$cos\theta=\frac{1}{2}$,
$tan\theta= \sqrt 3 $,
$cot\theta=\frac{\sqrt 3}{3}$,
$sec\theta=2$,
$csc\theta=\frac{2\sqrt 3}{3}$.
