MCQMediumJEE Main 2023 · 31 January, Shift 1Inverse Trigonometric Functions

Mathematics Question from JEE Main 2023 · 31 January, Shift 1

If sin⁡−1(α17)+cos⁡−1(45)−tan⁡−1(7736)=0,0<α<13,\sin^{-1} \left( \frac{\alpha}{17} \right) + \cos^{-1} \left( \frac{4}{5} \right) - \tan^{-1} \left( \frac{77}{36} \right) = 0, \quad 0 < \alpha < 13, then sin⁡−1(sin⁡α)+cos⁡−1(cos⁡α)\sin^{-1} (\sin \alpha) + \cos^{-1} (\cos \alpha) is equal to:

  • A

    π\pi

  • B

    1616

  • C

    00

  • D

    16−5π16 - 5\pi

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