`sin alpha+sin(alpha+((2pi)/3))+sin(alpha+((4pi)/3))=0`

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Prove the following : sin alpha+ sin (alpha+ (2 pi)/3)+ sin (alpha+ (4 pi)/3)=0 .

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(1)/(sin3alpha)[sin^(3)alpha+sin^(3)((2pi)/(3)+alpha)+sin^(3)((4pi)/(3)+alpha)] is equal to