If `A+B=pi/4` , prove that: `(1+t a n A)(1+t a n B)=2` `(cotA-1)(cotB-1)=2`

Explanation

To prove the given statements, we start with the provided equation \( A + B = \frac{\pi}{4} \).

### Step 1: Prove that \( (1 + \tan A)(1 + \tan B) = 2 \)

1. **Start with the given equation:**
\[ A + B = \frac{\pi}{4} \]
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