document.write( "Question 156515: Simplify:
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Algebra.Com's Answer #115331 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Simplify:
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document.write( "FOIL out the top:\r\n" );
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document.write( "\"%28csc%5E2x%2Bcsc%28x%29cot%28x%29-cot%28x%29csc%28x%29-cot%5E2x%29%2Fcsc%28x%29\"\r\n" );
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document.write( "\"%28csc%5E2x%2Bcross%28csc%28x%29cot%28x%29-cot%28x%29csc%28x%29%29-cot%5E2x%29%2Fcsc%28x%29\"\r\n" );
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document.write( "\"%28csc%5E2x-cot%5E2x%29%2Fcsc%28x%29\"\r\n" );
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document.write( "use the Pythagorean identity \"1%2Bcot%5E2alpha=csc%5E2alpha\" which\r\n" );
document.write( "can be rearranged as \"csc%5E2alpha-cot%5E2alpha=1\" to replace\r\n" );
document.write( "the numerator by just \"1\".\r\n" );
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document.write( "\"1%2Fcsc%28x%29\"\r\n" );
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document.write( "Then use the reciprocal identity \"csc%28alpha%29=1%2Fsin%28alpha%29\"\r\n" );
document.write( "to replace the denominator:\r\n" );
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document.write( "\"1%2F%281%2Fsin%28x%29%29\"\r\n" );
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document.write( "\"1\"÷\"1%2F%28sin%28x%29%29\"\r\n" );
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document.write( "Invert the second fraction and change division to\r\n" );
document.write( "multiplication:\r\n" );
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document.write( "\"1\"×\"%28sin%28x%29%29%2F1\"\r\n" );
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document.write( "\"sin%28x%29\"\r\n" );
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document.write( "Edwin

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