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Inverse Trigonometric Functions question

2025 · 23 Jan · Shift 1 · Q31

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JEE Main
Mathematics
Inverse Trigonometric Functions
2025 · 23 Jan · Shift 1 · Q31

Inverse Trigonometric Functions question

2025 · 23 Jan · Shift 1 · Q31

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

If

\frac{\pi}{2} \leq x \leq \frac{3 \pi}{4}

, then

\cos ^{-1}\left(\frac{12}{13} \cos x+\frac{5}{13} \sin x\right)

is equal to

A
$x+\tan ^{-1} \frac{5}{12}$
B
$x-\tan ^{-1} \frac{4}{3}$
C
$x+\tan ^{-1} \frac{4}{5}$
D
$x-\tan ^{-1} \frac{5}{12}$

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