VERIFY
SinA Sin(60-A) Sin (60+A) = 1/4Sin³A
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stick to above reference.
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Answer
SinA Sin(60-A) Sin (60+A) = 1/4Sin³A
=> sin(A) * [sin(60)cosA) - sin(A)cos(60)) * (sin(60)cos(A) + sin(A)cos(60)]
=> sin(A) * (sin(60)² * cos(A)² - sin(A)² * cos(60)²)
=> sin(A) * [(3/4) * cos(A)² - (1/4) * sin(A)²]
=> (1/4) * sin(A) * (3cos(A)² - sin(A)²)
=> (1/4) * sin(A) * (3 - 3sin(A)² - sin(A)²)
=> (1/4) * (3sin(A) - 4sin(A)³)
=> (1/4) * sin³(A)
Hence
L.H.S = R.H.S (Verified)
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