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I am trying to derive the harmonic content of a signal passing through a transistor's transfer function. After a Taylor expansion in Mathematica 7, I have the expanded equation and the next step is to reduce everything to first order Sine/Cosine functions.

In Mathematica, if I have a term like

(A Sin (wt) )^3

What function can I use to reduce this down? Doing it by hand it should look something like

a Sin(wt) - b Sin(3wt) + c Sin(wt)

where a,b,c are the collections of constants.

Any idea how I can do this reduction in Mathematica? I can't seem to get/find a function like TrigReduce to do what I want.

Thanks for any help.