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

Explanation

To prove that \( \frac{dy}{dx} + \sec^2\left(\frac{\pi}{4} - x\right) = 0 \) for the function \( y = \sqrt{\frac{1 - \sin 2x}{1 + \sin 2x}} \), we will follow these steps:

### Step 1: Rewrite the function
We start with the given function:
\[ y = \sqrt{\frac{1 - \sin 2x}{1 + \sin 2x}} \]

...