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

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

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Application +4 | -1

a=\sin ^{-1}(\sin (5))

and

b=\cos ^{-1}(\cos (5))

, then

a^2+b^2

is equal to

View answer and explanation

Correct option: B

8 \pi^2-40 \pi+50

Option A (

8 \pi^2-40 \pi+50

) is correct because it is the correct simplification after finding a and b using the given conditions.

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