In any \( \triangle \mathrm{ABC} \), prove that \[ \frac{\tan \frac{A}{2}}{(a-b)(a-c)}+\frac{\ta...

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In any \( \triangle \mathrm{ABC} \), prove that
\[
\frac{\tan \frac{A}{2}}{(a-b)(a-c)}+\frac{\tan \frac{B}{2}}{(b-a)(b-c)}+\frac{\tan \frac{C}{2}}{(c-a)(c-b)}=\frac{1}{\Delta}
\]
\( \mathrm{P} \)
W
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