sheik vs Arab chief

sheik and Arab chief both are nouns.

Word	Noun	Adjective	Verb	Adverb
sheik	Yes	No	No	No
Arab chief	Yes	No	No	No

As nouns, sheik and Arab chief are synonyms defined as:

Other synonyms of sheik include sheikh, tribal sheik, tribal sheikh.

sheik (noun)	Arab chief (noun)
the leader of an Arab village or family	the leader of an Arab village or family
a man who is much concerned with his dress and appearance