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sin alpha+sin(120^(@)+alpha)+sin(240^(@)...

sin alpha+sin(120^(@)+alpha)+sin(240^(@)+alpha)=0

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Assertion (A):cos^(2)theta+cos^(2)(60^(@)-theta)+cos^(2)(60^(@)+theta)=(3)/(2)sin alpha-sin(120^(@)-alpha)+sin(120^(@)+alpha)=0

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sin alpha * sin (60-alpha) sin (60 + alpha) = (1) / (4) * sin3 alpha