Question

tan inverse -1 (-1)

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Answer 1

Answer:

The answer is $-\frac{\pi}{4}$

Step-by-step explanation:

Since we know that principal interval of $\tan^{-1}x$ is $(-\frac{\pi}{2},\frac{\pi}{2})$ and $\tan(-\frac{\pi}{4})=-1$.

Therefore $\tan^{-1}(-1)=-\frac{\pi}{4}$