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In DeltaABC, prove that: a(cosC-cosB)=...

In `DeltaABC`, prove that:
`a(cosC-cosB)=2(b-c)cos^(2)A/2`

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AI Generated Solution

To prove that in triangle \( \Delta ABC \), the equation \( a(\cos C - \cos B) = 2(b - c) \cos^2 \frac{A}{2} \) holds, we will follow a systematic approach. ### Step-by-Step Solution: 1. **Start with the Left-Hand Side (LHS)**: \[ LHS = a(\cos C - \cos B) \] ...
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