Derivation of Cos2 α = 2cos ^ 2 α - 1

Derivation of Cos2 α = 2cos ^ 2 α - 1

According to 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