cos^2(x) - sin^2(x) = 1 - 2 sin^2(x) Please verify and give baby steps on how you found it!!! ill give the 10 pts to you!?

Ed2014-11-18T13:39:47Z

Since sin^2(x) + cos^2(x) = 1 (a proven trig identity) ,
cos^2(x) = 1 - sin^2(x).
Therefore cos^2(x) - sin^2(x) = 1 - sin^2(x) - sin^2(x)
= 1 - 2 sin^2(x)