Differentiate the following functions with respect to `x` : `tan^(-1){sqrt((1+cosx)/(1-cosx))}`

Explanation

To differentiate the function \( y = \tan^{-1}\left(\sqrt{\frac{1 + \cos x}{1 - \cos x}}\right) \) with respect to \( x \), we will follow these steps:

### Step 1: Simplify the expression inside the arctangent
We start with the expression inside the arctangent:

\[ \sqrt{\frac{1 + \cos x}{1 - \cos x}} \]
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