1. ## Trip identity

$csc^4(x) - cot^4(x)$

Could someone walk me though simplifying this? Thanks!

2. Originally Posted by absvalue
$csc^4(x) - cot^4(x)$

Could someone walk me though simplifying this? Thanks!
It factors to $(\csc^2x+\cot^2x)({\color{blue}\csc^2x-\cot^2x})=({\color{red}\csc^2x}+\cot^2x)({\color{b lue}1})={\color{red}\cot^2x+1}+\cot^2x$ $=2\cot^2x+1$

Does this make sense?

3. Thanks for your helpful post. I was stuck on the second step... I understand it now. Thanks again!