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If \({\sin }^{-1}\frac{\alpha }{17}+{\cos }^{-1}\frac{4}{5}-{\tan }^{-1}\frac{77}{36}=0,0 [JEE Main 2023, 31 Jan (Shift …

Q1

If \({\sin }^{-1}\frac{\alpha }{17}+{\cos }^{-1}\frac{4}{5}-{\tan }^{-1}\frac{77}{36}=0,0<\alpha <13\), then \({\sin }^{-1}(\sin \alpha )+{\cos }^{-1}(\cos \alpha )\) is equal to:

[JEE Main 2023, 31 Jan (Shift 1)]

a

\(\pi\)

b

16

c

0

d

\(16-5\pi\)

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