document.write( "Question 635241: rewrite in terms of csc\r
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Algebra.Com's Answer #400201 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"1%2F%281%2Bcos%28x%29%29\" + \"cos%28x%29%2F%281-cos%28x%29%29\"\r\n" );
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document.write( "Since csc(x) = \"1%2Fsin%28x%29\" we'll get it first in terms of sin(x)\r\n" );
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document.write( "Get an LCD of \"%281+%2B+cos%28x%29%29%281-cos%28x%29%29\"\r\n" );
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document.write( "\"1%2F%281%2Bcos%28x%29%29\"·\"%281+-+cos%28x%29%29%2F%281-cos%28x%29%29\" + \"cos%28x%29%2F%281-cos%28x%29%29\"·\"%281+%2B+cos%28x%29%29%2F%281%2Bcos%28x%29%29\"\r\n" );
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document.write( "\"%281+-+cos%28x%29%29%2F%281-cos%5E2%28x%29%29\" + \"%28cos%28x%29%281+%2B+cos%28x%29%29%29%2F%281-cos%5E2%28x%29%29\"\r\n" );
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document.write( "Since the denominators 1-cosē(x) are equal to sinē(x)\r\n" );
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document.write( "\"%281+-+cos%28x%29%29%2Fsin%5E2%28x%29\" + \"%28cos%28x%29%281+%2B+cos%28x%29%29%29%2Fsin%5E2%28x%29\"\r\n" );
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document.write( "Multiply the numerator of the second fraction out:\r\n" );
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document.write( "\"%281+-+cos%28x%29%29%2Fsin%5E2%28x%29\" + \"%28cos%28x%29+%2B+cos%5E2%28x%29%29%2Fsin%5E2%28x%29\"\r\n" );
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document.write( "Combine the numerators over the common denominator\r\n" );
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document.write( "\"%281-cos%28x%29%2Bcos%28x%29+%2B+cos%5E2%28x%29%29%2Fsin%5E2%28x%29\"\r\n" );
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document.write( "\"%281%2B+cos%5E2%28x%29%29%2Fsin%5E2%28x%29\"\r\n" );
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document.write( "Replace cosē(x) by 1-sinē(x)\r\n" );
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document.write( "\"%281%2B+%281-sin%5E2%28x%29%29%29%2Fsin%5E2%28x%29\"\r\n" );
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document.write( "\"%281%2B+1-sin%5E2%28x%29%29%2Fsin%5E2%28x%29\"\r\n" );
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document.write( "\"%282-sin%5E2%28x%29%29%2Fsin%5E2%28x%29\"\r\n" );
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document.write( "Break into two fractions:\r\n" );
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document.write( "\"2%2Fsin%5E2%28x%29\" - \"sin%5E2%28x%29%2Fsin%5E2%28x%29\"\r\n" );
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document.write( "\"2%2Fsin%5E2%28x%29\" - \"cross%28sin%5E2%28x%29%29%2Fcross%28sin%5E2%28x%29%29\"\r\n" );
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document.write( "\"2%2Fsin%5E2%28x%29\" - 1\r\n" );
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document.write( "Bring sinē(x) to the numerator as cscē(x)\r\n" );
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document.write( "2cscē(x) - 1\r\n" );
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document.write( "Edwin
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