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Mathematics · JEE | INVERSE TRIGONOMETRIC FUNCTIONS
हिन्दीFind the principal value of \( \tan^{-1}(-1) \).
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Correct answer · Option D
\( -\frac{\pi}{4} \)
Explanation
The principal value branch of \( \tan^{-1} \) is \( (-\frac{\pi}{2}, \frac{\pi}{2}) \). Since \( \tan(-\frac{\pi}{4}) = -1 \), the principal value is \( -\frac{\pi}{4} \).
