document.write( "Question 1201965: prove that -sin(x)-cos(x)cot(x)=-csc(x) is an identity \n" ); document.write( "

Algebra.Com's Answer #836565 by mananth(16946) $\"\"$ $\"About$

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prove that -sin(x)-cos(x)cot(x)=-csc(x) is an identity\r
\n" ); document.write( "\n" ); document.write( "-sin(x)-cos(x)cot(x)\r
\n" ); document.write( "\n" ); document.write( " $\"-sin%28x%29-%28cos%28x%29cos%28x%29%29%2Fsin%28x%29\"$ \r
\n" ); document.write( "\n" ); document.write( "LCM\r
\n" ); document.write( "\n" ); document.write( " $\"%28-sin%5E2%28x%29-cos%5E2%28x%29%29%2Fsin%28x%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28-sin%5E2%28x%29-+%281-sin%5E2%28x%29%29%29%2Fsin%28x%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28+-sin%5E2%28x%29-+1%2Bsin%5E2%28x%29%29%2Fsin%28x%29\"$ ....sin^2(x) cancel off\r
\n" ); document.write( "\n" ); document.write( " $\"%28-1%2Fsin%28x%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "-cosec(x)\r
\n" ); document.write( "\n" ); document.write( "PROVED\r
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