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InterviewSolution
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Find the principal value of `sin^(-1)``(1/(sqrt(2)))` |
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Answer» The principal value branch of `sin^(-1)x ` is `[(-pi)/(2),(pi)/(2)]`. Let `sin^(-1)(1/sqrt(2))=x` where`(-pi)/(2) le x le (pi)/(2)` `:.sinx=(1)/(sqrt(2))=sin.(pi)/(4)` `:.x=(pi)/(4) ` [ also `(-pi)/(2) le (pi)/(4) le (pi)/(2)` ] `:.` The principle value of `sin^(-1)(1/sqrt(2))` is `(pi)/(4)`. |
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