Your air conditioner does two jobs at once. Sensible cooling is the one you feel on a thermometer — lowering the air temperature. Latent cooling is the invisible one — pulling water vapor out of the air. Both happen at the evaporator coil: air temperature drops as it passes over the cold coil, and moisture condenses on the coil's surface and drains away, the same way a cold glass sweats on a July porch.
Here's the catch: the drying half only works when the system runs long enough. The coil takes several minutes to get cold enough to condense water in volume, and moisture removal accumulates over the length of the cycle. A system that blasts the house cold in eight minutes does plenty of sensible cooling and almost no latent cooling. The thermostat is satisfied; the air is still wet. That's the clammy-at-72°F feeling — and it's why "just set it colder" makes the house cold and damp instead of comfortable.
