document.write( "Question 1205416: I am using the fundamental identities to try to verify the following equation. It is a true statement but I find myself a little lost, probably on something basic algebra.\r
\n" ); document.write( "\n" ); document.write( "I primarily work on the left side and haven't really worked on the right side.\r
\n" ); document.write( "\n" ); document.write( "I know an identity could be verified by using many different methods, which is why the book I am using doesn't explain the process in the answers. So, your manner of verification may differ than what I am doing. Nevertheless, I'd appreciate any help.\r
\n" ); document.write( "\n" ); document.write( "In any case, here is the statement to be verified.\r
\n" ); document.write( "\n" ); document.write( "1 + sin theta/cot^2 theta = sin theta/csc theta - 1\r
\n" ); document.write( "\n" ); document.write( "Thank you very much for your help.
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Algebra.Com's Answer #842191 by ikleyn(52921)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "I am using the fundamental identities to try to verify the following equation.
\n" ); document.write( "It is a true statement but I find myself a little lost, probably on something basic algebra.
\n" ); document.write( "I primarily work on the left side and haven't really worked on the right side.
\n" ); document.write( "I know an identity could be verified by using many different methods, which is why the book
\n" ); document.write( "I am using doesn't explain the process in the answers. So, your manner of verification
\n" ); document.write( "may differ than what I am doing. Nevertheless, I'd appreciate any help.
\n" ); document.write( "In any case, here is the statement to be verified.
\n" ); document.write( "1 + sin theta/cot^2 theta = sin theta/csc theta - 1
\n" ); document.write( "Thank you very much for your help.
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document.write( "The identity in your post is (I copy it)\r\n" );
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document.write( "    1 + sin(theta)/cot^2(theta) = sin(theta)/csc(theta) - 1.\r\n" );
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document.write( "I read it this way - exactly as it is written in your post\r\n" );
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document.write( "    1 + \"sin%28theta%29%2Fcot%5E2%28theta%29\" = \"sin%28theta%29%2Fcsc%28theta%29\" - 1.\r\n" );
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document.write( "        This identity is INCORRECT, and I will show it right now.\r\n" );
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document.write( "Take \"theta\" = 45°.\r\n" );
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document.write( "Then in the left side,  cot(theta) = cot(45°) = 1;  so,  cot^2(theta) = 1, and the left side is\r\n" );
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document.write( "    1 + sin(45°) = 1 + \"sqrt%282%29%2F2\".\r\n" );
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document.write( "The right side is  \"sin%2845%5Eo%29%2F%28%281%2Fsin%2845%5E0%29%29%29\" - 1 = \"sin%5E2%2845%5Eo%29\" - 1 = \"%28sqrt%282%29%2F2%29%5E2\" - 1 = \"2%2F4\" - 1 = \"1%2F2\" - 1 = \"-1%2F2\".\r\n" );
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document.write( "The left side 1 + \"sqrt%282%29%2F2\" is not equal to the right side \"-1%2F2\",  so the identity is not hold.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Double check your writing in your post.\r
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