The value of \sin ^{-1} (\cos \frac{3 \pi}{5}) is

CBSE Class 12 Math 2020 Outside Delhi Set 1 Solved Paper

Section - A

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\bo {10}

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Question : 1 of 36

Marks: +1, -0

The value of

sin \;^{-1} (\cos \;{3 π}/{5})

Solution: 👈: Video Solution

sin \;^{-1} (\cos \;{33 π}/{5}) = sin \;^{-1} (\cos (6 π+\;{3 π}/{5}) )

= sin \;^{-1} (\cos (\;{3 π}/{5}) )

sin \;^{-1} (\cos (\;{π}/{2}+\;{π}/{10}) )

= sin \;^{-1} (- sin \; (\;{π}/{10}) )

∴ sin \;^{-1} (\cos \;{33 π}/{5}) =\;{-π}/{10}

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