Sin2a+sin2b -sin2c=-4sina sin
b sinc
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Answer:
= 4 sin A. sin B.sin C
Step-by-step explanation:
sin 2A + sin 2B + sin 2C = 2 sin C. cos (A – B) + 2 sin C. cos C = 2 sin C (cos(A – B) + cos C] = 2 sin C[cos (A – B) + cos {180 – (A + B)}] = 2 sin C[cos (A – B) – cos (A + B)]
= 2 sin C[-2 sin A . sin(- B)] = 4 sin A. sin B.sin C
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