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Show that: sin A sin(B-C)+sinB sin(C-A)+...

Show that: `sin A sin(B-C)+sinB sin(C-A)+sinC sin(A-B)=0`

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To show that \[ \sin A \sin(B-C) + \sin B \sin(C-A) + \sin C \sin(A-B) = 0, \] we will start by using the sine difference formula, which states that ...
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