If y= `y=sqrt((1-sin 2x )/(1+sin 2 x))` prove that `(dy)/(dx)+sec^2(pi/4-x)=0.`

Explanation

To solve the problem, we need to prove that if \( y = \sqrt{\frac{1 - \sin 2x}{1 + \sin 2x}} \), then

\[ \frac{dy}{dx} + \sec^2\left(\frac{\pi}{4} - x\right) = 0. \]

### Step 1: Simplify the expression for \( y \)

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