Simply expression

**Paymemoney** · January 11th 2010, 01:07 AM

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

**Moo** · January 11th 2010, 01:29 AM

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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