If `y=1/2log((1-cos2x)/(1+cos2x))` , prove that `(dy)/(dx)=2\ cos e c\ 2x`

Explanation

To prove that \(\frac{dy}{dx} = 2 \csc 2x\) for the function \(y = \frac{1}{2} \log\left(\frac{1 - \cos 2x}{1 + \cos 2x}\right)\), we will follow these steps:

### Step 1: Rewrite the logarithmic expression
Start with the given function:
\[ y = \frac{1}{2} \log\left(\frac{1 - \cos 2x}{1 + \cos 2x}\right) \]

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