document.write( "Question 809977: I want to know the prove on double angle identities,
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document.write( " Please explain with detail step by step and give examples. please help me, i need it thank you. \n" );
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Algebra.Com's Answer #487912 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! I want to know the prove on double angle identities, \n" ); document.write( "------ \n" ); document.write( "Since sin(a+b) = sin(a)cos(b)+cos(a)sin(b), \n" ); document.write( "sin(2x) = sin(x+x) = sin(x)cos(x)+cos(x)sin(x) = 2sin(x)cos(x) \n" ); document.write( "----- \n" ); document.write( "Since cos(a-b) = cos(a)cos(b)-sin(a)sin(b) \n" ); document.write( "cos(2x) = cos(x+x) = cos(x)cos(x)- sin(x)sin(x) = cossin^2(x)-cos^2(x) \n" ); document.write( "----- \n" ); document.write( "tan(2x) = sin(2x)/cos(2x) \n" ); document.write( "----- \n" ); document.write( "= [2sin(x)cos(x)]/[cos^2(x)-sin^2(x)] \n" ); document.write( "Divide numerator and denominator by cos^2(x) to get: \n" ); document.write( "= 2tan(x)/(1-tan^2(x)) \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============== \n" ); document.write( " |