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Question
Find the principal value of `sin^-1(1/sqrt2)`
Solution
Let `sin^-1(1/sqrt2)`
`∴ sin^-1x=(1/sqrt2)`
`∴ sin x= sin(pi/4)`
The principal value branch of
`sin^-1 "x" "is" [-pi/2,pi/2] `
`sin^-1 (sin theta) = theta`
Hence, the required principal value of x is `pi/4`
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