Write the following function in the simplest form: `tan^(-1)((cosx-sinx)/(cosx+sinx)), x < pi`

Explanation

To simplify the function \( f(x) = \tan^{-1}\left(\frac{\cos x - \sin x}{\cos x + \sin x}\right) \), we can follow these steps:

### Step 1: Rewrite the Function
Start with the given function:
\[ f(x) = \tan^{-1}\left(\frac{\cos x - \sin x}{\cos x + \sin x}\right) \]

...