If sin⁡−1α17+cos⁡−145−tan⁡−17736=0\sin^{-1} \frac{\alpha}{17} + \cos^{-1} \frac{4}{5} - \tan^{-1} \frac{77}{36} = 0 ,…

Mathematics

Problem

If sin⁡−1α17+cos⁡−145−tan⁡−17736=0\sin^{-1} \frac{\alpha}{17} + \cos^{-1} \frac{4}{5} - \tan^{-1} \frac{77}{36} = 0 , 0<α<130 < \alpha < 13 , then sin⁡−1(sin⁡α)+cos⁡−1(cos⁡α)\sin^{-1}(\sin \alpha) + \cos^{-1}(\cos \alpha) is equal to [Jan. 31, 2023 (I)] (a) π\pi (b) 16 (c) 0 (d) 16−5π16 - 5\pi

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