great white shark vs man-eater

great white shark and man-eater both are nouns.

Word	Noun	Adjective	Verb	Adverb
great white shark	Yes	No	No	No
man-eater	Yes	No	No	No

As nouns, great white shark and man-eater are synonyms defined as:

great white shark and man-eater: large aggressive shark widespread in warm seas; known to attack humans

Other synonyms of great white shark include Carcharodon carcharias, man-eating shark, white shark.

great white shark (noun)	man-eater (noun)
large aggressive shark widespread in warm seas; known to attack humans	large aggressive shark widespread in warm seas; known to attack humans
	a person who eats human flesh