document.write( "Question 903431: what is value sin(x) in terms of sec(x)?
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Algebra.Com's Answer #548012 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
Express sin(x) in terms of sec(x).
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document.write( "Start with this identity:\r\n" );
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document.write( "\"sin%5E2%28x%29%2Bcos%5E2%28x%29=1\"\r\n" );
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document.write( "replace \"cos%28x%29\" by \"1%2F%28sec%28x%29%29\":\r\n" );
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document.write( "\"sin%5E2%28x%29%2B%281%2F%28sec%28x%29%29%29%5E2=1\"\r\n" );
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document.write( "\"sin%5E2%28x%29%2B1%2F%28sec%5E2%28x%29%29=1\"\r\n" );
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document.write( "Multiply through by sec˛(x):\r\n" );
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document.write( "\"sec%5E2%28x%29sin%5E2%28x%29%2B1=sec%5E2%28x%29\"\r\n" );
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document.write( "Subtract 1 from both sides:\r\n" );
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document.write( "\"sec%5E2%28x%29sin%5E2%28x%29=sec%5E2%28x%29-1\"\r\n" );
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document.write( "Divide both sides by sec˛(x):\r\n" );
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document.write( "\"sin%5E2%28x%29=%28sec%5E2%28x%29-1%29%2F%28sec%5E2%28x%29%29\"\r\n" );
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document.write( "Take ± square root:\r\n" );
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document.write( "\"sin%28x%29\"\"%22%22=%22%22\"\"%22%22%2B-sqrt%28%28sec%5E2%28x%29-1%29%2F%28sec%5E2%28x%29%29%29\"\r\n" );
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document.write( "Simplify:\r\n" );
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document.write( "\"sin%28x%29\"\"%22%22=%22%22\"\"%22%22%2B-sqrt%28sec%5E2%28x%29-1%29%2F%28sec%28x%29%29\"\r\n" );
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document.write( "[Which sign to take will depend on the quadrant x is in.]\r\n" );
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document.write( "Edwin
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