Right. But what if the same frequency occurs at different phases in the same waveform? How does the frequency domain represent this second occurrance of the same frequency? That's my question.DougR said:

For example, picture a waveform with two sine waves, both at the the same frequency, say 2000 hz, but starting at different phases. One starts at zero, for example, and the other starts at, say, 48 degrees. With only one bin in the frequency domain to represent 2000 hz, and, consequently, only one place to represent the phase at which 2000 hz begins, how does the frequency domain represent both sine waves?

I probably should write a program that generates and mixes sine waves and displays the frequency domain data to see what it does.