The incircle of \( \triangle A B C \) touches side \( B C \) at \( ... VIDEO
The incircle of \( \triangle A B C \) touches side \( B C \) at \( D \). The difference between \( B D \) and \( C D \) ( \( R \) is circumradius of \( \triangle A B C \) ) is
\( \mathrm{P} \)
(1) \( \left|4 R \sin \frac{A}{2} \sin \frac{B-C}{2}\right| \)
(2) \( \left|4 R \cos \frac{A}{2} \sin \frac{B-C}{2}\right| \)
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(3) \( |b-c| \)
(4) \( \left|\frac{b-c}{2}\right| \)
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