If `tantheta +sintheta = m ` and `tantheta-sintheta=n`, then prove that `m^(2)-n^(2)=4sinthetatantheta`.

Explanation

To prove that \( m^2 - n^2 = 4 \sin \theta \tan \theta \) given that \( \tan \theta + \sin \theta = m \) and \( \tan \theta - \sin \theta = n \), we can follow these steps:

### Step 1: Write down the given equations
We have:
1. \( \tan \theta + \sin \theta = m \) (Equation 1)
2. \( \tan \theta - \sin \theta = n \) (Equation 2)

### Step 2: Add the two equations
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