Mathematics · 2025
JEE Main · 23 January 2025, Shift 1 · Q10
If (π)/2 ≤ x ≤ (3 π)/4, then cos^-1(12/13 cos x+5/13 sin x) is equal to
If $\displaystyle \frac{\pi}{2} \leq x \leq \frac{3 \pi}{4}$, then $\displaystyle \cos ^{-1}\left(\frac{12}{13} \cos x+\frac{5}{13} \sin x\right)$ is equal to
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle x-\tan ^{-1} \frac{5}{12}$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.