If x + frac{1}{x} = 2,the principal value of | vedclass

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(B) Given the equation $x + \frac{1}{x} = 2$. Multiplying by $x$,we get $x^2 + 1 = 2x$,which simplifies to $x^2 - 2x + 1 = 0$. This is a perfect squar

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$\pi /2$

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(B) Given the equation $x + \frac{1}{x} = 2$. Multiplying by $x$,we get $x^2 + 1 = 2x$,which simplifies to $x^2 - 2x + 1 = 0$. This is a perfect square: $(x - 1)^2 = 0$,which implies $x = 1$. We need to find the principal value of $\sin^{-1} x$. Substituting $x = 1$,we get $\sin^{-1}(1)$. Since $\sin(\pi / 2) = 1$,the principal value is $\pi / 2$.

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

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