I have tried sing the addition formula, and I end up with a lot of work. I'm trying it for the third time, and nothing seems to cancel.
Is there another way to do this?
Maybe use some triple angle formula? Look here.
Double & Triple Angle formulas
I've tried using the Product-to-sum formula, but it only makes things more confusing (to me). My teacher said that we should be able to solve this only using the addition/subtraction formulas.
and this is what I have gotten so far
[Cosx (cos^2x - sin^2x) cosx - (2sinxcosx) sinx] - [sinx (2sinxcosx) cosx + (cos^2x - sin^2x) sinx]
I don't know if that is right, I'm still playing around with what what I have.