cosmopolitan vs worldwide

cosmopolitan is a noun but worldwide is not a noun.

Word	Noun	Adjective	Verb	Adverb
cosmopolitan	Yes	Yes	No	No
worldwide	No	Yes	No	No

As adjectives, cosmopolitan and worldwide are synonyms defined as:

Other synonyms of cosmopolitan include ecumenical, general, oecumenical, universal, world-wide.

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

cosmopolitan (adjective)	worldwide (adjective)
growing or occurring in many parts of the world	of worldwide scope or applicability
composed of people from or at home in many parts of the world; especially not provincial in attitudes or interests	spanning or extending throughout the entire world
of worldwide scope or applicability	involving the entire earth; not limited or provincial in scope