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If \(a={\sin }^{-1}(\sin (5))\) and \(b={\cos }^{-1}(\cos (5))\), then \({a}^{2}+{b}^{2}\) is equal to [JEE Main 2024, 3…

Q1

If \(a={\sin }^{-1}(\sin (5))\) and \(b={\cos }^{-1}(\cos (5))\), then \({a}^{2}+{b}^{2}\) is equal to

[JEE Main 2024, 31 Jan (Shift 2)]

a

\(4{\pi }^{2}-20\pi +50\)

b

\(4{\pi }^{2}+25\)

c

\(8{\pi }^{2}-40\pi +50\)

d

25

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