Answer
$sin(-5\pi)=0$
$cos(-5\pi)=-1$
$tan(-5\pi)=0$
$csc(-5\pi)=undefined$
$sec(-5\pi)=-1$
$cot(-5\pi)=undefined$
Work Step by Step
Since, $-5\pi$ is coterminal angle with $\pi$ i.e at negative x-axis, which can be considered as common angle to all trigonometric ratios.
The trigonometric ratios and their inverse trigonometric ratios are given as follows:
$sin(-5\pi)=sin\pi=0$
$cos(-5\pi)=cos\pi=-1$
$tan(-5\pi)=tan\pi=0$
$csc(-5\pi)=\frac{1}{sin(-5\pi)}=undefined$
$sec(-5\pi)=\frac{1}{cos(-5\pi)}=-1$
$cot(-5\pi)=\frac{1}{tan(-5\pi)}=undefined$
