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Prove that (b + c -a) (cot.(B)/(2) + cot...

Prove that `(b + c -a) (cot.(B)/(2) + cot.(C)/(2)) = 2a cot.(A)/(2)`

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To prove that \((b + c - a) \left( \frac{\cot(B)}{2} + \frac{\cot(C)}{2} \right) = 2a \frac{\cot(A)}{2}\), we will follow these steps: ### Step 1: Rewrite \(b + c\) in terms of \(s\) Recall that in a triangle, the semi-perimeter \(s\) is defined as: \[ s = \frac{a + b + c}{2} \] Thus, we can express \(b + c\) as: ...
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