hokpich069 hokpich069

22-06-2020
Mathematics

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Prove that : sin^4(2x)=3/8-1/2cos4x+1/8cos8x
Someone plzz help!!!

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abbeyelliott abbeyelliott

22-06-2020

sin^2 (2x) = (1 - cos(4x))/2
---> sin^4 (2x) = (1/4)(1 - cos4x)^2 = (1/4)(1 - 2cos4x + cos^2 (4x)) and replace cos^2(4x) by (1/2)(1+cos(8x)) --->answer

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