document.write( "Question 1048795: Express sin(x)sin(x-y) as a difference of two cosines. \n" ); document.write( "
Algebra.Com's Answer #664551 by Edwin McCravy(20067)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"cos%28A-B%29\"\"%22%22=%22%22\"\"cos%28A%29cos%28B%29%2Bsin%28A%29sin%28B%29\"\r\n" );
document.write( "\"cos%28A%2BB%29\"\"%22%22=%22%22\"\"cos%28A%29cos%28B%29-sin%28A%29sin%28B%29\"\r\n" );
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document.write( "Subtract the 2nd equation from the 1st:\r\n" );
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document.write( "\"cos%28A-B%29+-+cos%28A%2BB%29\"\"%22%22=%22%22\"\"2sin%28A%29sin%28B%29\"\r\n" );
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document.write( "Multiply both sides by 1/2\r\n" );
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document.write( "\"expr%281%2F2%29%28cos%28A-B%29%5E%22%22+-+cos%28A%2BB%29%29\"\"%22%22=%22%22\"\"sin%28A%29sin%28B%29\"\r\n" );
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document.write( "\"sin%28A%29sin%28B%29\"\"%22%22=%22%22\"\"expr%281%2F2%29%28cos%28A-B%29%5E%22%22+-+cos%28A%2BB%29%29\"\r\n" );
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document.write( "Let A = x and B = x-y\r\n" );
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document.write( "\"sin%28x%29sin%28x-y%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"sin%28x%29sin%28x-y%29\"\"%22%22=%22%22\"\"expr%281%2F2%29%28cos%28x-x%2By%5E%22%22%29%5E%22%22+-+cos%28x%2Bx-y%5E%22%22%29%29\"\r\n" );
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document.write( "\"sin%28x%29sin%28x-y%29\"\"%22%22=%22%22\"\"expr%281%2F2%29%28cos%28y%5E%22%22%29%5E%22%22+-+cos%282x-y%5E%22%22%29%29\"\r\n" );
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document.write( "That's ONE-HALF the difference of two cosines, which may be what\r\n" );
document.write( "you want.  If not let me know in the thank-you note form below,\r\n" );
document.write( "and I'll try to get rid of the ONE-HALF.\r\n" );
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document.write( "Edwin
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