How can a liquid detergent emulsifies coconut oil and water?

Liquid detergent consists of a hydrophilic sulphurous head and a hydrophobic hydrocarbon tail. When detergent is added to coconut oil and water, the head dissolves in water and the tail dissolves in the oil. When the water is agitated, the coconut oil begins to emulsify because the charges on the surface of the coconut oil are now the same, repelling each other, forming globules.