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 $t=390^\circ=360^\circ+30^\circ$, the terminal side is in quadrant I and $t_0=30^\circ$ to the $+x$-axis , we have:
$sin(t)=sin(t_0)=\frac{1}{2}$,
$cos(t)=cos(t_0)=\frac{\sqrt 3}{2}$,
$tan(t)=tan(t_0)=\frac{\sqrt 3}{3}$,
$cot(t)=cot(t_0)=\sqrt 3$,
$sec(t)=sec(t_0)=\frac{2\sqrt 3}{3}$,
$csc(t)=csc(t_0)= 2$.
