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