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When the water or sweat evaporates it takes heat with it.
Think of it as the sweat or water leaving and taking the heat with it..
When a liquid evaporates it needs to acquire potential energy to change from a liquid to a gas.
This is stored as heat.
This heat does not create a rise in temperature.
This heat is known as latent heat.
Usually you heat a kettle and the water boils.
This is putting potential energy into the water, it then boils.
When water evaporates , it takes heat from its surroundings to do so.
The effect of taking heat out of the surroundings is that the surroundings cool down.
Therefore evaporation has a cooling effect on things.
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