document.write( "Question 1189411: Prove : tanx + tanxcos2x=sin2x \n" ); document.write( "
Algebra.Com's Answer #820777 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"tan%28x%29+%2B+tan%28x%29cos%282x%29=sin%282x%29\"\r
\n" ); document.write( "\n" ); document.write( "manipulate left side\r
\n" ); document.write( "\n" ); document.write( "\"tan%28x%29%281+%2B+cos%282x%29%29+\"...........use Double-Angle Identities \"cos%282x%29=2cos+%5E2%28x%29-1\" and identity \"tan%28x%29=sin%28x%29%2Fcos%28x%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"%28sin%28x%29%2Fcos%28x%29%29%281%2B2cos+%5E2%28x%29-1%29+\"\r
\n" ); document.write( "\n" ); document.write( "=\"%28sin%28x%29%2Fcos%28x%29%29%282cos+%5E2%28x%29%29+\"..........simplify\r
\n" ); document.write( "\n" ); document.write( "=\"2sin%28x%29cos+%28x%29\"....................use Double-Angle Identities \"sin%282x%29=+2sin%28x%29cos+%28x%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"sin%282x%29\"-> proven\r
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