The invention relates to the use of at least one amphoteric in transparent aqueous cosmetic compositions for the hair and/or the skin designed to be rinsed, comprising at least one anionic surface-active agent, at least one surface-active agent selected for the betaines and at least one water-soluble or water dispersible cationic polymer derived from a polysaccharide (PolC), as precipitant, in the diluted state, of said cationic polymer (PolC). The invention further relates to transparent aqueous cosmetic compositions for the hair and/or skin designed to be rinsed, comprising at least one one anionic surface-active agent, at least one surface-active agent selected for the betaines, at least one water-soluble or water dispersible cationic polymer derived from a polysaccharide (PolC), and at least one amphoteric surface-active agent.