If the median AD of triangle ABC makes an angle `pi/4` with the side BC, then find the value of `|cotB-cotC|dot`

Explanation

To solve the problem, we will follow the steps outlined in the video transcript and derive the result systematically.

### Step-by-Step Solution:

1. **Understanding the Triangle and Median**:
- Let triangle ABC be given with median AD. The median AD divides side BC into two equal segments, BD and DC, where BD = DC.

2. **Identifying Angles**:
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