Question

verify this equation
cos^2x-sin^2x=1-2sin^2x

Answer 1

using the base identity:
\[sin^2(x)+cos^2(x)=1\] we can replace 1 with that and it should all simplify itsself out

Answer 2

use identity
sin^2 + cos^2 = 1
--> cos^2 = 1 - sin^2

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

Answer 3

yall are both quite helpful thanks