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:
$sin(t)=y=\frac{\sqrt 2}{2}$,
$cos(t)=x=\frac{\sqrt 2}{2}$,
$tan(t)=\frac{y}{x}=1$,
$cot(t)=\frac{x}{y}=1$,
$sec(t)=\frac{1}{x}=\sqrt 2$,
$csc(t)=\frac{1}{y}=\sqrt 2$.