PEG-3 Cocamide (INCI) is a polyethylene glycol derivative based on coconut amides (= reaction products of the fatty acids in coconut oil with diethanolamides) which is used in cosmetic products. The number 3 after "PEG-" indicates the average number of molecular units -CH2-CH2-O-. PEG-3 cocamides act as emulsifier and surfactant.