Answer
$sin\theta=\frac{2\sqrt 7}{7}$,
$cos\theta=\frac{\sqrt {21}}{7}$,
$tan\theta=\frac{2\sqrt 3}{3}$,
$cot\theta=\frac{\sqrt 3}{2}$,
$sec\theta=\frac{\sqrt {21}}{3}$,
$csc\theta=\frac{\sqrt 7}{2}$.
Work Step by Step
Given $x=\sqrt 3, y=2$, find the missing side $r=\sqrt {3+4}=\sqrt 7$, we have:
$sin\theta=\frac{2\sqrt 7}{7}$,
$cos\theta=\frac{\sqrt {21}}{7}$,
$tan\theta=\frac{2\sqrt 3}{3}$,
$cot\theta=\frac{\sqrt 3}{2}$,
$sec\theta=\frac{\sqrt {21}}{3}$,
$csc\theta=\frac{\sqrt 7}{2}$.
