: sin A
sin (60° - A). sin (60° + A) =
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Step-by-step explanation:
sinAsin(60+A)sin(60-A)
=sinA[sin²60-sin²A]
[since,sin(A+B)sin(A-B)=sin²A-sin²B]
=sinA(3/4-sin²A)
=3sinA/4-sin³A
=1/4[3sinA-4sin³A]
=1/4sin3A
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