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Question

Prove cosAcos2Acos4Acos8A=sin16A16sinA

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Solution

LHS=(2sinAcosAcos2Acos4Acos8A2sinA)=(2×sin2Acos2Acos4Acos8A2×2sinA)=(2×sin4Acos4Acos8A2×4sinA)=(2×sin8Acos8A2×8sinA)=(sin16A16sinA)=RHS


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