Final answer:
The nickname given to British soldiers during the American Revolutionary War is b) Redcoats.
Step-by-step explanation:
This term was used to describe the British troops because of the iconic red uniforms that they wore. These soldiers were perceived as symbols of British authority and military power in the American colonies. The term redcoats often carried a negative connotation among American Patriots, who opposed British policies and fought for independence.
In contrast, the Patriots referred to colonists who rebelled against British control during the American Revolutionary War, and the Minutemen were members of the colonial militia who were known for being ready to fight with very little notice, as highlighted by their involvement in the early battles at Lexington and Concord.