So I need to simplify a problem down to ten characters, and I got this far and now I'm stuck:

2cos3t(3sint-4sin^{3}t) +1

I don't really know what to do with the 2cos3t... I feel like distributing it in would just make the problem even messier...

Here's the original problem:

2cos(3t)(sin(2t)cos(t)+cos2t* sqr(1-cos^{2}t))+1

Here's what I was able to do:

I turned the (sin2tcost)

into 2sintcost(cost)

then into 2sintcos^{2}t,

then into 2sint(1-sin^{2}t),

then into 2sint-2sin^{3}t.

Then I turned cos2t*sqr(1-cos^{2}t)

into 1-2sin^{2}t*sqrt(sin^{2}t),

then into 1-2sin^{2}t(sint),

then into sint-2sin^{3}t.

Then I added the two sides together to get 3sint-4sin^{3}t

Right now we're using reciprocal id, quotient id, pythagorean id, cofunction id, even/odd id, sum&difference formulas, half-angle formulas, double angle formulas, sum-to-product formulas

Any help would be fantastic! Thanks!