JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

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Application +4 | -1

\frac{1}{2} \sin ^{-1}\left(\frac{3 \sin 2 \theta}{5+4 \cos 2 \theta}\right)=\frac{\pi}{4}

, then

\tan \theta

is equal to

View answer and explanation

Correct option: B

Option B (3) is correct because solving the equation after applying the sine function and simplifying leads to

\tan \theta = 3

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x

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