If 2 sin left(frac{pi}{2}right) = x^{2} + fra | vedclass

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(D) Given the equation: $2 \sin \left(\frac{\pi}{2}\right) = x^{2} + \frac{1}{x^{2}}$.Since $\sin \left(\frac{\pi}{2}\right) = 1$,the equation becomes

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(D) Given the equation: $2 \sin \left(\frac{\pi}{2}\right) = x^{2} + \frac{1}{x^{2}}$.Since $\sin \left(\frac{\pi}{2}\right) = 1$,the equation becomes $2(1) = x^{2} + \frac{1}{x^{2}}$,which simplifies to $x^{2} + \frac{1}{x^{2}} = 2$.We know the identity $(x - \frac{1}{x})^{2} = x^{2} + \frac{1}{x^{2}} - 2$.Substituting the value $x^{2} + \frac{1}{x^{2}} = 2$ into the identity,we get $(x - \frac{1}{x})^{2} = 2 - 2 = 0$.Therefore,$x - \frac{1}{x} = 0$.

If $2 \sin \left(\frac{\pi}{2}\right) = x^{2} + \frac{1}{x^{2}}$,then the value of $\left(x - \frac{1}{x}\right)$ is

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