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JEE MAIN 2025
23-01-2025 SHIFT-1
Question
If $\frac{\pi }{2}\le x\le \frac{{3\pi }}{4}$ , then ${{\cos }^{{-1}}}\left( {\frac{{12}}{{13}}\cos x+\frac{5}{{13}}\sin x} \right)$ is equal to
Select the correct option:
A
$x+{{\tan }^{{-1}}}\frac{5}{{12}}$
B
$x-{{\tan }^{{-1}}}\frac{4}{3}$
C
$x+{{\tan }^{{-1}}}\frac{4}{5}$
D
$x-{{\tan }^{{-1}}}\frac{5}{{12}}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
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