document.write( "Question 1013469: Simplify the following expression.
\n" ); document.write( "1/(cot^2(x)) - 1/(cos^2(x))
\n" ); document.write( "I think I've figured it out to be -1? but I'd just like to be sure. Thank you! \n" ); document.write( "
Algebra.Com's Answer #629748 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
i believe you are correct.\r
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\n" ); document.write( "\n" ); document.write( "start with 1/cot^2(x) - 1/cos^2(x)\r
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\n" ); document.write( "\n" ); document.write( "since cot^2(x) = cos^2(x)/sin^2(x), your expression becomes:\r
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\n" ); document.write( "\n" ); document.write( "1/(cos^2(x)/sin^2(x)) - 1/cos^2(x)\r
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\n" ); document.write( "\n" ); document.write( "since 1/(cos^2(x)/sin^2(x)) is equal to 1 * sin^2(x)/cos^2(x), your expression becomes:\r
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\n" ); document.write( "\n" ); document.write( "sin^2(x)/cos^2(x) - 1/cos^2(x)\r
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\n" ); document.write( "\n" ); document.write( "combine the terms under the common denominator to get:\r
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\n" ); document.write( "\n" ); document.write( "(sin^2(x) - 1)/cos^2(x) = -(1 - sin^2(x))/cos^2(x) = -cos^2(x)/cos^2(x) = -1.\r
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\n" ); document.write( "\n" ); document.write( "good work.\r
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