Answer
$\cot \frac{-3\pi}{4}=1$
Work Step by Step
We are given $\cot \frac{-3\pi}{4}$
$\cot(\frac{-3\pi}{4}+\pi)=\cot(\frac{\pi}{4})$
convert $\frac{\pi}{4}$ radians to degrees
$\frac{\pi}{4}=\frac{\pi}{4}(\frac{180^\circ}{\pi})$
$\frac{\pi}{4}=45^\circ$
$\cot \frac{-3\pi}{4}=\cot 45^\circ$
$\cot 45^\circ=1$
so $\cot \frac{-3\pi}{4}=1$
