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Question

(Sin to the power of 2) 24 degrees - (sin to the power of 2) 6 degrees =( -1 + square root of 5)/8

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Solution

LHS = sin224° - sin26°= sin24°+6° . sin24°-6° as, sin2A - sin2B = sinA+B . sinA-B=sin 30° . sin 18°=12 × 5-14=5-18=RHS

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