Final answer:
A medicated rinse is the type of rinse used to control minor dandruff and scalp conditions.
Step-by-step explanation:
The type of rinse used to control minor dandruff and scalp conditions is a medicated rinse. Medicated rinses contain active ingredients, such as coal tar, zinc pyrithione, or ketoconazole, which help to combat dandruff and soothe the scalp. These rinses are specifically formulated to target scalp conditions and provide relief from symptoms.