Answer
$sin(t) =-\frac{1}{3}$,
$cos(t) =\frac{2\sqrt 2}{3}$,
$tan(t) =-\frac{\sqrt 2}{4}$,
$cot(t) =-2\sqrt 2$,
$sec(t) =\frac{3\sqrt 2}{4}$,
$csc(t) =-3$.
Work Step by Step
Given $x=\frac{2\sqrt 2}{3}, y=-\frac{1}{3}, r=1$, we have:
$sin(t)=y=-\frac{1}{3}$,
$cos(t)=x=\frac{2\sqrt 2}{3}$,
$tan(t)=\frac{y}{x}=-\frac{\sqrt 2}{4}$,
$cot(t)=\frac{x}{y}=-2\sqrt 2$,
$sec(t)=\frac{1}{x}=\frac{3\sqrt 2}{4}$,
$csc(t)=\frac{1}{y}=-3$.
