JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

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Application +4 | -1

\alpha \in\left(-\frac{3 \pi}{2},-\pi\right)

, then the value of

\tan ^{-1}(\cot \alpha)-

\cot ^{-1}(\tan \alpha)+\sin ^{-1}(\sin \alpha)+\cos ^{-1}(\cos \alpha)

is equal to:

View answer and explanation

Correct option: C

Option C (0) is correct because the terms cancel out based on the given range of alpha and properties of inverse trigonometric functions.

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x

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2{\tan ^{ - 1}}\left( {\frac{1}{3}} \right) + {\tan ^{ - 1}}\left( {\frac{1}{7}} \right)