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