Prove that : \[ \frac{\sin (B-C)}{\cos B \cos C}+\frac{\sin (C-A)}{...

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Prove that :
\[
\frac{\sin (B-C)}{\cos B \cos C}+\frac{\sin (C-A)}{\cos C \cos A}+\frac{\sin (A-B)}{\cos A \cos B}=0
\]
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