$\theta=\tan ^{-1}\left(2 \tan ^2 \theta\right)-\tan ^{-1}((1 / 3) \tan \theta)$ if $\tan \theta$ is equal to

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

1 Easy

1 of 1

Application +4 | -1

\theta=\tan ^{-1}\left(2 \tan ^2 \theta\right)-\tan ^{-1}((1 / 3) \tan \theta)

\tan \theta

is equal to

View answer and explanation

Correct option: A

-2

Option A (-2) is correct because, after simplifying the equation using the tangent subtraction formula, we find that tan(theta) = -2 is a valid solution.

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

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