If x- 1 x -2 the principal value of sin -1 x is-

The correct option is B π2 If #160;x+ 1 x =2 ⇒ x=1 So the principal value of sin ^ 1 x is #160;π #160;/ 2 ...

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Standard XII

Mathematics

Middle Terms

If x+ 1 x =...

Question

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

\frac{π}{4}

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\frac{π}{2}

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π

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\frac{3 π}{4}

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Solution

The correct option is B $\frac{π}{2}$
If $x + \frac{1}{x} = 2$
$\Rightarrow x = 1$
So the principal value of ${sin}^{- 1} x$ is $\frac{π}{2}$

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If x+1x=2 the principal value of sin−1x is-

The correct option is B π2If x+1x=2⇒x=1So the principal value of sin−1x is π2

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

The correct option is B $\frac{π}{2}$
If $x + \frac{1}{x} = 2$
$\Rightarrow x = 1$
So the principal value of ${sin}^{- 1} x$ is $\frac{π}{2}$