cosmopolitan vs widely distributed

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

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

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

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

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

cosmopolitan (adjective)	widely distributed (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