sheikh vs sheik

sheikh and sheik both are nouns.

Word	Noun	Adjective	Verb	Adverb
sheikh	Yes	No	No	No
sheik	Yes	No	No	No

As nouns, sheikh and sheik are synonyms defined as:

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

sheikh (noun)	sheik (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