coordinate system vs frame of reference

coordinate system and frame of reference both are nouns.

Word	Noun	Adjective	Verb	Adverb
coordinate system	Yes	No	No	No
frame of reference	Yes	No	No	No

As nouns, coordinate system and frame of reference are synonyms defined as:

coordinate system and frame of reference: a system that uses coordinates to establish position

Other synonyms of coordinate system include reference frame, reference system.

coordinate system (noun)	frame of reference (noun)
a system that uses coordinates to establish position	a system that uses coordinates to establish position
	a system of assumptions and standards that sanction behavior and give it meaning