cos2α=2cos^2α-1的推導過程

cos2α=2cos^2α-1的推導過程

根據cos(a+b)=cos(a)cos(b)-sin(a)sin(b)
cos2α=cosαcosα-sinαsinα
=cos^2α-sin^2α
=cos^2α-(1-cos^2α)
=2cos^2α-1