19-07-2017
Mathematics

contestada

simplify the expression by using a double angle formula

cos^2 4theta-sin^2 4theta

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mathmate mathmate

19-07-2017

Double angle formula for cos(2x) is
cos(2x)=cos^2(x)-sin^2(x)

Substitute x=4theta, then
cos(8theta)=cos^2(4theta)-sin^2(4theta)
=>
cos^2(4theta)-sin^2(4theta) = cos(8theta)

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