SOLUTION: Verify the following identity by using an angle sum identity: cos (2x) = 1 – 2(sin2 x). Hint (2x = x + x). Thank you!

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Question 955441: Verify the following identity by using an angle sum identity: cos (2x) = 1 – 2(sin2 x). Hint (2x = x + x). Thank you!
Answer by lwsshak3(11628) About Me  (Show Source):
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Verify the following identity by using an angle sum identity: cos (2x) = 1 – 2(sin2 x).
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cos(2x)=cos(x+x)=cosxcosx-sinxsinx=cos^2(x)-sin^2(x)=1-sin^2(x)-sin^2(x)=1-2sin^2(x)