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In a triangle,prove that sin3Asin(B-C)+sin3Bsin(C-A)+sin3Csin(A-B)=0

In a triangle,prove that sin3Asin(B-C)+sin3Bsin(C-A)+sin3Csin(A-B)=0

Grade:12th pass

1 Answers

Vijay Mukati
askIITians Faculty 2590 Points
8 years ago
Hint: Take the first term i.e. sin3Asin(B-C). Use the identity for 2sinAsinB. Do this for all the three terms given in the question. Then try to use the concept that A+B+C = pi. using it try to make the same angles which can be cancelled after that. Thanks.

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