Inverse Trigonometric Functions | JEE Main Solution

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:

$x+{{\tan }^{{-1}}}\frac{5}{{12}}$

$x-{{\tan }^{{-1}}}\frac{4}{3}$

$x+{{\tan }^{{-1}}}\frac{4}{5}$

$x-{{\tan }^{{-1}}}\frac{5}{{12}}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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