Answer
$-\dfrac{\pi}{4}$
Work Step by Step
Suppose $\theta = \tan^{-1} (-1)$
This gives: $\tan \theta=1$
Now, $\theta = \tan^{-1} (-1)=-\dfrac{\pi}{4}$
Therefore, $\tan^{-1} (-1)=-\dfrac{\pi}{4}$
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