document.write( "Question 1099317: please could you verify this? \"%28tan%285x%2F2%29%29%2F%28tan%28x%2F2%29%29+=+%28sin3x%2Bsin2x%29%2F%28sin3x-sin2x%29\"This is where I got stuck. \n" ); document.write( "
Algebra.Com's Answer #713770 by AnlytcPhil(1807)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "I tried it using the identity that you chose, but it became\r\n" );
document.write( "more and more complicated, so I tried the \"product to sum\"\r\n" );
document.write( "formula above, and, as you see, it was fairly straight forward.  \r\n" );
document.write( "I could also have used the \"sum to product\" formula working \r\n" );
document.write( "with the right side.  The formulas you need for such problems are:\r\n" );
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document.write( "Sum or difference to product:\r\n" );
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document.write( "\"sin%28A%29%2Bsin%28B%29\"\"%22%22=%22%22\"\"2sin%28expr%281%2F2%29%28A%2BB%29%29cos%28expr%281%2F2%29%28A-B%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"sin%28A%29-sin%28B%29\"\"%22%22=%22%22\"\"2sin%28expr%281%2F2%29%28A-B%29%29cos%28expr%281%2F2%29%28A%2BB%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"cos%28A%29%2Bcos%28B%29\"\"%22%22=%22%22\"\"2cos%28expr%281%2F2%29%28A%2BB%29%29cos%28expr%281%2F2%29%28A-B%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"cos%28A%29-cos%28B%29\"\"%22%22=%22%22\"\"-2sin%28expr%281%2F2%29%28A%2BB%29%29sin%28expr%281%2F2%29%28A-B%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "Product to sum or difference\r\n" );
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document.write( "\"sin%28A%29cos%28B%29\"\"%22%22=%22%22\"\"expr%281%2F2%29%28sin%28A%2BB%29%2Bsin%28A-B%29%5E%22%22%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"cos%28A%29cos%28B%29\"\"%22%22=%22%22\"\"expr%281%2F2%29%28cos%28A%2BB%29%2Bcos%28A-B%29%5E%22%22%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"sin%28A%29sin%28B%29\"\"%22%22=%22%22\"\"expr%281%2F2%29%28cos%28A-B%29-cos%28A%2BB%29%5E%22%22%29\"\r\n" );
document.write( " \r\n" );
document.write( "All those are easily proved using formulas for sin(AħB) and cos(AħB)\r\n" );
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document.write( "Edwin
(AKA AnlytcPhil)
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