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Prove that (sin(B-C))/(cos B cos C)+(sin...

Prove that `(sin(B-C))/(cos B cos C)+(sin(C-A))/(cos C cos A)+(sin(A-B))/(cos A cos B)=0`

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To prove the equation \[ \frac{\sin(B-C)}{\cos B \cos C} + \frac{\sin(C-A)}{\cos C \cos A} + \frac{\sin(A-B)}{\cos A \cos B} = 0, \] we will use the sine subtraction formula and some algebraic manipulations. ...
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