document.write( "Question 1151813: Prove\r
\n" ); document.write( "\n" ); document.write( "sin(4x)=8sin(x)cos^3(x)-4sin(x)cos(x)
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Algebra.Com's Answer #773684 by Edwin McCravy(20066)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "We use two identities\r\n" );
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document.write( "     \"sin%282theta%29=2sin%28theta%29cos%28theta%29\"\r\n" );
document.write( "and\r\n" );
document.write( "     \"cos%28theta%29=2cos%5E2%28theta%29-1\"\r\n" );
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document.write( "to prove:\r\n" );
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document.write( "\"sin%284x%29=8sin%28x%29cos%5E3%28x%29-4sin%28x%29cos%28x%29\"\r\n" );
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document.write( "Begin with the left side:\r\n" );
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document.write( "\"sin%284x%29\"\r\n" );
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document.write( "\"sin%282%282x%29%5E%22%22%29\"\r\n" );
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document.write( "\"2sin%282x%29cos%282x%29\"\r\n" );
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document.write( "\"2%282sin%28x%29cos%28x%29%5E%22%22%29%282cos%5E2%28x%29%5E%22%22-1%29\"\r\n" );
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document.write( "\"4sin%28x%29cos%28x%29%282cos%5E2%28x%29%5E%22%22-1%29\"\r\n" );
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document.write( "\"8sin%28x%29cos%5E3%28x%29-4sin%28x%29cos%28x%29\"\r\n" );
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document.write( "Edwin
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