document.write( "Question 1039980: Hi,\r
\n" );
document.write( "\n" );
document.write( "I would like to start off by saying thank you for answering my question.\r
\n" );
document.write( "\n" );
document.write( "The text book has asked to prove the identity :
\n" );
document.write( "tan2theta = (2tantheta)/(1-tan^2theta)\r
\n" );
document.write( "\n" );
document.write( "Your help is so greatly appreciated. You have no idea \n" );
document.write( "
Algebra.Com's Answer #654757 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! prove the identity : \n" ); document.write( "tan2theta = (2tantheta)/(1-tan^2theta) \n" ); document.write( "------- \n" ); document.write( "tan(2t) = sin(2t)/cos(2t) \n" ); document.write( "=== \n" ); document.write( "= 2sin(t)cos(t)/(cos^2(t)-sin^2(t)) \n" ); document.write( "---------- \n" ); document.write( "Divide numerator and denominator by cos^2(t) to get:: \n" ); document.write( "----- \n" ); document.write( "= 2sin(t)/cos(t) / (1-tan^2(t)) \n" ); document.write( "------ \n" ); document.write( "= 2*tan(t)/(1-tan^2(t)) \n" ); document.write( "QED \n" ); document.write( "==================== \n" ); document.write( "Note:: You could find this proof online using Google. \n" ); document.write( "-------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------------- \n" ); document.write( " |