document.write( "Question 331531: Verify that cot^2 x + sin^2 x=csc^2 x is an identity \n" ); document.write( "
Algebra.Com's Answer #237609 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"Cot%5E2x+%2B+Sin%5E2x\"\"%22%22=%22%22\"\"Csc%5E2x\"\r\n" );
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document.write( "That is not an identity.  For example suppose x=45°, then\r\n" );
document.write( "\"Cot%28%2245%B0%22%29=1\" and so \"Cot%5E2\"\"%22%2845%B0%29%22=1%5E2=1\"\r\n" );
document.write( "\"Sin%28%2245%B0%22%29=sqrt%282%29%2F2\" and so \"Sin%5E2\"\"%28%2245%B0%22%29=2%2F4=1%2F2\"\r\n" );
document.write( "\"Csc%5E2\"\"%22%2845%B0%29%22=1%2F%28Sin%2845%29%29%5E2=1%2F%281%2F2%29=1%2A%282%2F1%29=2\"\r\n" );
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document.write( "Substituting those in the original equation:\r\n" );
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document.write( "\"1%2B1%2F2\"\"%22%22=%22%22\"\"2\"\r\n" );
document.write( "\"1%261%2F2\"\"%22%22=%22%22\"\"2\"\r\n" );
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document.write( "which is false.\r\n" );
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document.write( "Sorry.\r\n" );
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document.write( "Edwin

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