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