`tan^(-1)((cosx-sinx)/(cosx+sinx))=pi/4-x`

Explanation

To solve the equation \( \tan^{-1}\left(\frac{\cos x - \sin x}{\cos x + \sin x}\right) = \frac{\pi}{4} - x \), we will follow these steps:

### Step 1: Rewrite the Left-Hand Side
We start with the left-hand side of the equation:
\[ LHS = \tan^{-1}\left(\frac{\cos x - \sin x}{\cos x + \sin x}\right) \]

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