I have an expression of the form:
(20.193*10^(-3)) Cos[120 \[Pi] t] - (30.634*10^(-3)) Sin[120 \[Pi] t] + (-20.193*10^(-3)) E^(-750 t) Cos[250 Sqrt[7] t] + (145.75*10^(-3)) E^(-750 t) Sin[250 Sqrt[7] t]
I want to factor the terms to produce output:
0.03669 Cos[120 \[Pi] t +0.9875] + 0.14714 E^(-750 t) Cos[250 Sqrt[7] t - 1.707]
i.e., express
ACosx + BSinx = C Cos(x+theta)
I have tried TrigFactor but sometimes it produces the result using Cos and sometimes Sin. I want to be able to control which form to use. Any help would be greatly appreciated. Thanks
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