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Express-cos-4x-interm-of-cos-x-




Question Number 115248 by aye48 last updated on 24/Sep/20
Express cos 4x interm of cos x.
Expresscos4xintermofcosx.
Answered by Olaf last updated on 24/Sep/20
cos4x = 2cos^2 2x−1  cos4x = 2(2cos^2 x−1)^2 −1  cos4x = 2(4cos^4 x−4cos^2 x+1)−1  cos4x = 8cos^4 x−8cos^2 x+1
cos4x=2cos22x1cos4x=2(2cos2x1)21cos4x=2(4cos4x4cos2x+1)1cos4x=8cos4x8cos2x+1

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