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ok, i got it now. thanks

Basically, I want to know how you go from ## ae^{jwt}## + ## be^{-jwt}## to ##Asin(wt + \theta)##

can someone explain how you go from (4.25) to (4.26) using Euler's formulas in the attachment?

thanks, can you also explain the "However, if you assume the function x(t) is real, then they are related as A = B" bit

I found an explanation for the equation of under damped harmonic motion, x(t) = C cos(wt) + D sin(wt), but I was wondering if someone could further explain why: - "However, if you assume the function x(t) is real, then they are related as A = B - why is (A-B) is imaginary