SOLUTION: Verify the identify cos^2x-sin^2x=2cos^2x-1 Thank you in advance

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Question 1005320: Verify the identify
cos^2x-sin^2x=2cos^2x-1
Thank you in advance

Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52824) About Me  (Show Source):
You can put this solution on YOUR website!
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Verify the identify
cos^2x - sin^2x = 2cos^2x - 1
--------------------------------------

Add 2sin%5E2%28x%29 to both sides.


Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Verify the identify
cos^2x-sin^2x=2cos^2x-1
Thank you in advance
cos%5E2+%28x%29+-+sin%5E2+%28x%29+=+2+cos%5E2+%28x%29+-+1
Left side:
cos%5E2+%28x%29+-+%281+-+cos%5E2+%28x%29%29 -------- Substituting 1+-+cos%5E2+%28x%29 for sin%5E2+%28x%29
highlight_green%28cos%5E2+%28x%29+-+1+%2B+cos%5E2+%28x%29+=+2+cos%5E2+%28x%29+-+1%29 (VERIFIED)