All right, I don't get it. I tried and tried, but I just don't understand. I have a dozen questions about this so somebody just pick one out all of these, I don't care.
What's inside a North American residential 240 V pole transformer?
Is it (secondary) double iron core windings with 120 V on each core and each end of the coil has one hot and one neutral wire that get tied in series to add up to 240 V?
Is it a single iron core winding with two hot wires on each end and a center wire tapped at the 120th winding to make a 120 V wire?
Are there two sine waves in a (secondary) double iron core transformer or one?
Are there two sine waves in a (secondary) single iron core center tapped transformer or one?
If either of the two types of transformers do truly have two sine waves, are they 180° opposite from each other at peak?
Are they 90° out of step from each other at peak?
Are they on top of each other?
Please don't use to many equations or symbols, because I've exhausted my explanation abilities as it is with these questions and might not understand much more than the simple words that were already used here.