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MCQMediumJEE Main 2025 · 23 January, Shift 1Inverse Trigonometric Functions

Mathematics Question from JEE Main 2025 · 23 January, Shift 1

If π2≤x≤3π4\frac{\pi}{2} \leq x \leq \frac{3\pi}{4}, then cos⁡−1(1213cos⁡x+513sin⁡x)\cos^{-1} \left( \frac{12}{13} \cos x + \frac{5}{13} \sin x \right) is equal to:

  • A

    x−tan⁡−1(43)x - \tan^{-1} \left(\frac{4}{3}\right)

  • B

    x−tan⁡−1(512)x - \tan^{-1} \left(\frac{5}{12}\right)

  • C

    x+tan⁡−1(45)x + \tan^{-1} \left(\frac{4}{5}\right)

  • D

    x+tan⁡−1(512)x + \tan^{-1} \left(\frac{5}{12}\right)

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