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Math Help - Simply expression

  1. #1
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    Simply expression

    Hi
    Can someone help me simplify this expression. i tired using different identities but still cannot get the answer.
    sec^2(x)+cosec^2(x)-sec^2(x)cosec^2(x)

    P.S
    Last edited by Paymemoney; January 11th 2010 at 01:25 AM.
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  2. #2
    Moo
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    Hello,

    Well, that's pretty simple

    \begin{aligned}\sec^2(x)+\csc^2(x)&=\frac{1}{\sin^  2(x)}+\frac{1}{\cos^2(x)}\\<br />
&=\frac{\cos^2(x)+\sin^2(x)}{\cos^2(x)\sin^2(x)  } \\<br />
&=\frac{1}{\cos^2(x)\sin^2(x)}\\<br />
&=\boxed{\sec^2(x)\csc^2(x)}\end{aligned}
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