The solution of ${\tan ^{ - 1}}2{\rm{\theta }} + {\tan ^{ - 1}}3{\rm{\theta }} = \frac{\pi }{4}$ is

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

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The solution of

{\tan ^{ - 1}}2\mathrm{\theta } + {\tan ^{ - 1}}3\mathrm{\theta } = \frac{\pi }{4}

View answer and explanation

Correct option: C

\frac{1}{6}

Option C (

\frac{1}{6}

) is correct because solving the equation

{\tan ^{ - 1}}2\theta + {\tan ^{ - 1}}3\theta = \frac{\pi }{4}

using the tangent addition formula yields

\theta = \frac{1}{6}

as the valid solution.

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