# Simplify this function

• Apr 17th 2009, 01:57 PM
dsuh2010
Simplify this function
Should be a good brain refresher!(Hi)

$
{4-4\cos^2(x) \cdot \left(1-\frac{1}{\left(\csc^2(x)\right)}\right)^2}+(cot^2( 2x))\frac{(1-2\sin^2(x))^2}{\frac{1}{\frac{1+\cos(2x)}{\cos(2x) }\cdot \frac{1-\cos(2x)}{\cos(2x)}}}
$

The answer should come out to a really nice answer if I did my math right........ After a lot of editing, I hope this comes to the right answer (many mistakes)
THIS IS THE FINALIZED AND EDITED PROBLEM.
• Apr 17th 2009, 02:06 PM
Moo
Hi,

I'm rewriting it in correct latex, because the way you wrote it is not easy to decipher :(
Tell me if it's correct.

$\frac{1}{\sqrt{4-4\cos^2(x)} \cdot \left(1-\left(\frac{2}{\sec^2(x)}\right)^2\right)}+\frac{1-2\sin^2(2x)}{\frac{1+\cos(2x)}{\cos(2x)}}\cdot \frac{1-\cos(2x)}{\cos(2x)}$
• Apr 17th 2009, 02:22 PM
dsuh2010