24.cos4x = 1 — 8sin“ x cos” x – InterviewSolution

1.

24.cos4x = 1 — 8sin“ x cos” x

Answer»

cos4x ascos2(2x) =1-2sin²(2x) =1-2(2sinx . cosx)²

Use { sin2x = 2sinx. cosx} =1-2(4sin²x.cos²x)=1-8sin²x.cos²xLHS=RHS

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