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