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JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

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Application +4 | -1

If

x < 0

, then

\tan ^{-1} x+\tan ^{-1}(1 / x)

equals

View answer and explanation

Correct option: C

-\pi / 2

The correct answer is C (

-\pi / 2

) because when x < 0, the identity

\tan^{-1} x + \tan^{-1}(1/x) = -\pi/2

holds.

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x

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