If `costheta +sin theta= sqrt(2)cos theta`, then prove that` costheta-sintheta =sqrt(2)sin theta`

Explanation

To prove that \( \cos \theta - \sin \theta = \sqrt{2} \sin \theta \) given that \( \cos \theta + \sin \theta = \sqrt{2} \cos \theta \), we will follow these steps:

### Step 1: Start with the given equation
We have:
\[ \cos \theta + \sin \theta = \sqrt{2} \cos \theta \]

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