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

Find the principal value of `"sin^(-1)(1/sqrt2).`

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Let` sin^(-1)(1/sqrt2)`.
we know that the range of the principal value branch of `sin^(-1)` is`(- pi/2 ,pi/2)` and`sin(pi/4)=1/sqrt/2`.
Therefore, principal value of `sin^(-1)(1/sqrt2)` is `pi/4`.
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