jee-main 2024 Q72

jee-main · India · session1_31jan_shift2 Standard trigonometric equations Inverse trigonometric equation

If $a = \sin^{-1}(\sin 5)$ and $b = \cos^{-1}(\cos 5)$, then $a^2 + b^2$ is equal to
(1) $4\pi^2 + 25$
(2) $8\pi^2 - 40\pi + 50$
(3) $4\pi^2 - 20\pi + 50$
(4) 25

If $a = \sin^{-1}(\sin 5)$ and $b = \cos^{-1}(\cos 5)$, then $a^2 + b^2$ is equal to\\
(1) $4\pi^2 + 25$\\
(2) $8\pi^2 - 40\pi + 50$\\
(3) $4\pi^2 - 20\pi + 50$\\
(4) 25

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