So I need to simplify a problem down to ten characters, and I got this far and now I'm stuck:
2cos3t(3sint-4sin3t) +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-cos2t))+1
Here's what I was able to do:
I turned the (sin2tcost)
into 2sintcost(cost)
then into 2sintcos2t,
then into 2sint(1-sin2t),
then into 2sint-2sin3t.
Then I turned cos2t*sqr(1-cos2t)
into 1-2sin2t*sqrt(sin2t),
then into 1-2sin2t(sint),
then into sint-2sin3t.
Then I added the two sides together to get 3sint-4sin3t
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!