Hi
Can someone help me simplify this expression. i tired using different identities but still cannot get the answer.
$\displaystyle sec^2(x)+cosec^2(x)-sec^2(x)cosec^2(x)$
P.S
Hello,
Well, that's pretty simple
$\displaystyle \begin{aligned}\sec^2(x)+\csc^2(x)&=\frac{1}{\sin^ 2(x)}+\frac{1}{\cos^2(x)}\\
&=\frac{\cos^2(x)+\sin^2(x)}{\cos^2(x)\sin^2(x) } \\
&=\frac{1}{\cos^2(x)\sin^2(x)}\\
&=\boxed{\sec^2(x)\csc^2(x)}\end{aligned}$