Answer
$sin\theta=\frac{\sqrt 6}{3}$,
$cos\theta=\frac{\sqrt 3}{3}$,
$tan\theta=\sqrt 2$,
$cot\theta=\frac{\sqrt 2}{2}$,
$sec\theta=\sqrt 3$,
$csc\theta=\frac{\sqrt 6}{2}$.
Work Step by Step
Given $x=1, y=\sqrt 2$, find the missing side $r=\sqrt {1+2}=\sqrt 3$, we have:
$sin\theta=\frac{\sqrt 6}{3}$,
$cos\theta=\frac{\sqrt 3}{3}$,
$tan\theta=\sqrt 2$,
$cot\theta=\frac{\sqrt 2}{2}$,
$sec\theta=\sqrt 3$,
$csc\theta=\frac{\sqrt 6}{2}$.
