Answer
$sin(t) =0$,
$cos(t) =-1$,
$tan(t) =0$,
$cot(t) =undefined$,
$sec(t) =-1$,
$csc(t) = undefined$.
Work Step by Step
Given $t=5\pi=4\pi+\pi$, the terminal side is on the $-x$-axis with $t_0=0$ to the $-x$-axis , we have:
$sin(t)=sin(t_0)=0$,
$cos(t)=-cos(t_0)=-1$,
$tan(t)=-tan(t_0)=0$,
$cot(t)=-cot(t_0)=undefined$,
$sec(t)=-sec(t_0)=-1$,
$csc(t)=csc(t_0)= undefined$.