document.write( "Question 746612: Verify the identity.\r
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Algebra.Com's Answer #454410 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"%28csc%28x%29%2Bsec%28x%29%29%2F%28sin%28x%29%2Bcos%28x%29%29\"\"%22%22=%22%22\"\"cos%28x%29%2Btan%28x%29\"\r\n" );
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document.write( "Sorry, but that is not an identity.\r\n" );
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document.write( "I will show that it does not hold in the case of the 3-4-5 right\r\n" );
document.write( "triangle, where x is the smaller acute angle:\r\n" );
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document.write( "\"%28csc%28x%29%2Bsec%28x%29%29%2F%28sin%28x%29%2Bcos%28x%29%29\"\"%22%22=%22%22\"\"cos%28x%29%2Btan%28x%29\"\r\n" );
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document.write( "\"%285%2F3%2B5%2F4%29%2F%283%2F5%2B4%2F5%29\"\"%22%22=%22%22\"\"4%2F5%2B3%2F4\"\r\n" );
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document.write( "\"%2820%2F12%2B15%2F12%29%2F%287%2F5%29\"\"%22%22=%22%22\"\"16%2F20%2B15%2F20\"\r\n" );
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document.write( "\"%2835%2F12%29%2F%287%2F5%29\"\"%22%22=%22%22\"\"31%2F20\"\r\n" );
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document.write( "\"%2835%2F12%29%2A%285%2F7%29\"\"%22%22=%22%22\"\"31%2F20\"\r\n" );
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document.write( "\"%28cross%2835%29%5E5%2F12%29%2A%285%2Fcross%287%29%29\"\"%22%22=%22%22\"\"31%2F20\"\r\n" );
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document.write( "\"25%2F12\"\"%22%22=%22%22\"\"31%2F20\"\r\n" );
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document.write( "That is false, so the equation is not an identity\r\n" );
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document.write( "Edwin
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