document.write( "Question 952695: Prove. \r
\n" ); document.write( "\n" ); document.write( "Tan^2(x)+cos2(x)=1-cos2(x)tan^2(x)
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Algebra.Com's Answer #581959 by stanbon(75887)\"\" \"About 
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Prove.
\n" ); document.write( "Tan^2(x)+cos2(x)=1-cos2(x)tan^2(x)
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\n" ); document.write( "[sin^2/cos^2) + cos^2 - sin^2 = 1-(cos^2-sin^2)(sin^2/cos^2)
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\n" ); document.write( "Multiply thru by cos^2 to get::
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\n" ); document.write( "sin^2 + cos^4 - cos^2*sin^2 = cos^2 - cos^2*sin^2 + sin^4
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\n" ); document.write( "sin^2 + cos^4 = cos^2 + sin^4
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\n" ); document.write( "cos^4-sin^4 = cos^2-sin^2
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\n" ); document.write( "Divide both sides by cos^2-sin^2 to get::
\n" ); document.write( "cos^2 + sin^2 = 1
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\n" ); document.write( "1 = 1
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\n" ); document.write( "cheers,
\n" ); document.write( "Stan H.
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