Question

Use the Pythagorean identity to show that the double angle formula for cosine can be written as
a) cos2x = 1 - 2sin^2x
b) cos2x = 2cos^2x - 1

Nov 2, 2009

bobpursley

sin^2x+ cos^2x=1
cos^2x+ sin^2x-2sin^2x=1-2sin^2x
cos^2x-sin^2x=1-2sin^2x
cos(2x)=1-2sin^2x

Nov 2, 2009

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