So with the a/c on does it give you a boost to heat, or simply help dry out the air?
Incidentally, how much more petrol will the car use with the a/c on?
"Air conditioning" is a catch-all for the system the controls both the temperature and the humidity of the air:
The first aspect is to set the humidity of the air at the desired level (Low humidity will allow you to sweat more effectively, cooling you down, high humidity will feel sticky because you can't sweat because the air is already mostly saturated with water vapour, so none more can evaporate into the air)
The second is to heat the air to the desired temperature. Lowering the temperature is complicated so we'll gloss over that seeing as its not relevant to this
When the hot, low humidity air is passed into the car the water in the car will evaporate into the air due to the heat, raising the amount of water vapour in the air, and thus the humidity. When you recirculate that air through the A/C unit the water will be removed and the process repeated
Put simply the A/C will dry the car by removing the water, but you need to heat there to make the water evaporate into the air in the first place.
As for the amount of power it will sap, it will vary system to system, I've seen 5% thrown about as a figure, but not any real evidence for that