document.write( "Question 739523: sec(x)=tan(x)csc(x) \n" ); document.write( "
Algebra.Com's Answer #451159 by AnlytcPhil(1807)\"\" \"About 
You can put this solution on YOUR website!
sec(x)=tan(x)csc(x)
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document.write( "You will need to know \r\n" );
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document.write( "This quotient identity:\r\n" );
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document.write( "#1. \"tan%28theta%29=sin%28theta%29%2Fcos%28theta%29\"\r\n" );
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document.write( "and these reciprocal identities \r\n" );
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document.write( "#2. \"csc%28theta%29=1%2Fsin%28theta%29\"\r\n" );
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document.write( "#3. \"1%2Fcos%28theta%29=sec%28theta%29\"\r\n" );
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document.write( "We will work ONLY with the right side:\r\n" );
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document.write( "sec(x) = tan(x)csc(x)\r\n" );
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document.write( "Use identity #1 to substitute \"sin%28x%29%2Fcos%28x%29\" for tan(x).\r\n" );
document.write( "Use identity #2 to substitute \"1%2Fsin%28x%29\" for csc(x).\r\n" );
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document.write( "sec(x) = \"expr%28sin%28x%29%2Fcos%28x%29%29\"\"%22%22%2A%22%22\"\"expr%281%2Fsin%28x%29%29\"\r\n" );
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document.write( "Cancel the sin(x)'s\r\n" );
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document.write( "sec(x) = \"expr%28cross%28sin%28x%29%29%2Fcos%28x%29%29\"\"%22%22%2A%22%22\"\"expr%281%2Fexpr%28cross%28sin%28x%29%29%29%29\"\r\n" );
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document.write( "That is equivalent to:\r\n" );
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document.write( "sec(x) = \"1%2Fcos%28x%29\"\r\n" );
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document.write( "Now use identity #3 to substitute sec(x) for \"1%2Fcos%28x%29\"\r\n" );
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document.write( "sec(x) = sec(x)\r\n" );
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document.write( "Edwin

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