widely distributed vs cosmopolitan

widely distributed is not a noun while cosmopolitan is a noun.

Word	Noun	Adjective	Verb	Adverb
widely distributed	No	Yes	No	No
cosmopolitan	Yes	Yes	No	No

As adjectives, widely distributed and cosmopolitan are synonyms defined as:

widely distributed and cosmopolitan: growing or occurring in many parts of the world

widely distributed (noun)	cosmopolitan (noun)
	a sophisticated person who has travelled in many countries

widely distributed (adjective)	cosmopolitan (adjective)
growing or occurring in many parts of the world	growing or occurring in many parts of the world
	composed of people from or at home in many parts of the world; especially not provincial in attitudes or interests
	of worldwide scope or applicability