Answer
$sin(t) =1$,
$cos(t) =0$,
$tan(t) =undefined$,
$cot(t) =0$,
$sec(t) =undefined$,
$csc(t) = 1$.
Work Step by Step
Given $t=\frac{5\pi}{2}=2\pi+\frac{\pi}{2}$, the terminal side is on the $+y$-axis with $t_0=\frac{\pi}{2}$ to the $+x$-axis , we have:
$sin(t)=sin(t_0)=1$,
$cos(t)=cos(t_0)=0$,
$tan(t)=tan(t_0)=undefined$,
$cot(t)=cot(t_0)=0$,
$sec(t)=sec(t_0)=undefined$,
$csc(t)=csc(t_0)= 1$.
