SOLUTION: Prove that the following is an identity: 1) (4sin^2 x*cos^2 x) = 1

SOLUTION: Prove that the following is an identity: 1) (4sin^2 x*cos^2 x) = 1 - cos^2 2x

Question 442982: Prove that the following is an identity:
1) (4sin^2 x*cos^2 x) = 1 - cos^2 2x
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
1) (4sin^2 x*cos^2 x) = 1 - cos^2 (2x)
..
1) (4sin^2 x*cos^2 x) = 1 - cos^2 (2x)
start with left side
2^2*sin^2x*cos^2x
(2sinxcosx)^2
sin^2(2x)=1-cos^2(2x)
confirmed:
left side = right side
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