SOLUTION: prove that cosx-sinx=(1-tan^2x/1+tan^2x)

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Question 846945: prove that cosx-sinx=(1-tan^2x/1+tan^2x)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
prove that cosx-sinx=(1-tan^2x/1+tan^2x)
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cos(x)-sin(x) = [(cos^2 - sin^2)/cos^2]/[(cos^2+sin^2)/cos^2]
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cos - sin = (cos^2-sin^2)/cos^2+sin^2)
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cos(x)-sin(x) = cos^2-sin^2
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Note: That is not an identity. Please check your posted entry.
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Cheers,
Stan H.