Answer
Exact value of $\cot (-\frac{\pi}{4}) = -1$
Work Step by Step
Exact value of $\cot (-\frac{\pi}{4})$
As $ -\frac{\pi}{4}$ terminates in quadrant IV, its $\cot$ will be negative. Therefore -
$\cot (-\frac{\pi}{4})$ = $-\cot\frac{\pi}{4}$
= $-1$