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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

$0$

Vedclass · Answer

(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

Similar Questions

The simplest value of $\tan 1^{\circ} \tan 2^{\circ} \tan 3^{\circ} \ldots \tan 89^{\circ}$ is

If $\cot \theta + \tan \theta = m$ and $\sec \theta - \cos \theta = n,$ then which of the following is correct?

$(\sec 2A + 1){\sec ^2}A = $

If $\sin A + \cos A = \sqrt{2}$,then $\cos^2 A = $

If $\tan A = \frac{1}{2}$ and $\tan B = \frac{1}{3},$ the value of $A + B$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module