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If $x + \frac{1}{x} = 2$ , the principle value of $\sin^{- 1} x$ is

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π4

3π2

π2

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detailed solution

Correct option is C

We have x+1x=2⇒x=1∴ sin−1x=sin-11=π2

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If x+1x=2, the principle value of sin−1xis

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If $x + \frac{1}{x} = 2$ , the principle value of $\sin^{- 1} x$ is