I guess the answer is that if you have
programmed the repeater frequency , tone, and offset, the
repeater will answer you back. The FT-60 doesn't really "know"
you wanted to talk to a repeater. On the other hand, in
principle you can program a frequency not used by a repeater,
and an offset, and have a QSO with someone listening to your
transmit frequency and talking back on your listening
frequency.?
And since the FT-60 has "split" capability,
you can also do this cross-band and work crossband satellites.
Hope this helps (and I hope I'm right....)
Steve JS6TMW