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Find the principal value of sin^(-1)(sqr...

Find the principal value of `sin^(-1)(sqrt3/2)`.

Text Solution

Verified by Experts

Let `sin^(-1)(sqrt3/2)=y`
`rArr siny=sqrt3/2`
`:'` The principal values of `sin^(-1)x`lie in `[-pi/2,pi/2]`, and in this interval `sin.(pi)/3 =sqrt3/2`
`:.` The principal value of `sin^(-1)(sqrt3/2)" is "pi/3`.
`:. Sin^(-1)(sqrt3/2)=pi/3`
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