Question

${\tan }^{-1}(-1)=\_\_\_\_\_\_\_$

Short answer

$-\frac{\mathrm{\pi }}{4}$

Step-by-step solution

Step 1. Given information

We have to find the value of${\tan }^{-1}(-1)$

Step 2. Find the value

Let,

$\theta ={\tan }^{-1}(-1)$

Rewrite the expression,

$\tan \theta =-1$

Therefore,

$\theta =-\frac{\mathrm{\pi }}{4}$