In any triangle \( \mathrm{ABC} \), prove that : \[ 2\left(b \cos ^...

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In any triangle \( \mathrm{ABC} \), prove that :
\[
2\left(b \cos ^{2} \frac{\mathrm{C}}{2}+c \cos ^{2} \frac{\mathrm{B}}{2}\right)=a+b+c
\]
\( \mathrm{P} \)
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