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