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Inverse Trigonometric Functions question

2025 · Shift 2 · Q19

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JEE Advanced
Mathematics
Inverse Trigonometric Functions
2025 · Shift 2 · Q19

Inverse Trigonometric Functions question

2025 · Shift 2 · Q19

JEE AdvancedMathematicsInverse Trigonometric FunctionsMCQ+3 / −1

The total number of real solutions of the equation

\theta = \tan^{-1}(2 \tan \theta) - \frac{1}{2} \sin^{-1}\left(\frac{6 \tan \theta}{9 + \tan^2 \theta}\right)

is (Here, the inverse trigonometric functions

\sin^{-1} x

and

\tan^{-1} x

assume values in

[ -\frac{\pi}{2}, \frac{\pi}{2}]

and

( -\frac{\pi}{2}, \frac{\pi}{2})

, respectively.)

A
1
B
2
C
3
D
5

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