document.write( "Question 846945: prove that cosx-sinx=(1-tan^2x/1+tan^2x) \n" ); document.write( "
Algebra.Com's Answer #510001 by stanbon(75887)\"\" \"About 
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prove that cosx-sinx=(1-tan^2x/1+tan^2x)
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\n" ); document.write( "cos(x)-sin(x) = [(cos^2 - sin^2)/cos^2]/[(cos^2+sin^2)/cos^2]
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\n" ); document.write( "cos - sin = (cos^2-sin^2)/cos^2+sin^2)
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\n" ); document.write( "cos(x)-sin(x) = cos^2-sin^2
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\n" ); document.write( "Note: That is not an identity. Please check your posted entry.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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