What is cos(x)*(1-cos^2(x))

Ten points best answer. :]

You got it Leah!,
cos(x) (1-cos^2(x)) (use the Pythagorean identity: cos^2(x) + sin^2(x) =1)
=cos(x) (sin^2(x))
=cos(x)*sin(x)*sin(x) (use double-angle identity)
=1/2sin(2x)* sin(x)

I think this is the farthest I can simplify it to but I hope I helped!