document.write( "Question 550824: cot²x - csc²x = -1 for all values of x.\r
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Algebra.Com's Answer #359124 by KMST(5328) $\"\"$ $\"About$

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True.
\n" ); document.write( "For all x, $\"cot%28x%29=cos%28x%29%2Fsin%28x%29\"$ and $\"csc%28x%29=1%2Fsin%28x%29\"$
\n" ); document.write( "So, for all x,
\n" ); document.write( "cot^2x-csc^2x= $\"%28cot%28x%29%29%5E2-%28csc%28x%29%29%5E2\"$ = $\"%28cos%28x%29%2Fsin%28x%29%29%5E2-%281%2Fsin%28x%29%29%5E2\"$ = $\"%28cos%28x%29%29%5E2%2F%28sin%28x%29%29%5E2-1%2F%28sin%28x%29%29%5E2\"$ = $\"%28%28cos%28x%29%29%5E2-1%29%2F%28sin%28x%29%29%5E2\"$ = $\"-%281-%28cos%28x%29%29%5E2%29%2F%28sin%28x%29%29%5E2\"$ = $\"-%28sin%28x%29%29%5E2%2F%28sin%28x%29%29%5E2\"$ = -1 \n" ); document.write( "

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