Yes peace officers are cops.
A peace officer is another name for a cop or law enforcement officer.
The peace officer has the same powers as any deputy Sheriff or Sheriff in general and can make arrests just like other officers can and do.
A deputy sheriff is a sheriff that is an assistant to the regular sheriff and a deputy sheriff has the same powers as a regular sheriff.
Peace officer is just another name for cop or officer or even sheriff.
The peace officers job is to make arrests when needed and keep the peace in the community just like other cops are appointed to do.