SOLUTION: Please help me answer this question: Prove the following identity: sec^2x-2secxcosx + cos^2x = tan^2x

SOLUTION: Please help me answer this question: Prove the following identity: sec^2x-2secxcosx + cos^2x = tan^2x - sin2^x

Question 430755: Please help me answer this question:
Prove the following identity:
sec^2x-2secxcosx + cos^2x = tan^2x - sin2^x
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
sec^2x-2secxcosx + cos^2x = tan^2x - sin2^x
Add sin^2
sec^2x-2secxcosx + cos^2x + sin^2(x) = tan^2x
sec^2x-2secxcosx + 1 = tan^2x
sec^2x - 2 + 1 = tan^2x
sec^2 = tan^ + 1
Or 1 = sin^2 + cos^2

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