arctic vs frigid

arctic is a noun but frigid is not a noun.

Word	Noun	Adjective	Verb	Adverb
arctic	Yes	Yes	No	No
frigid	No	Yes	No	No

As adjectives, arctic and frigid are synonyms defined as:

Other synonyms of arctic include gelid, glacial, icy, polar.

arctic (noun)	frigid (noun)
a waterproof overshoe that protects shoes from water or snow

arctic (adjective)	frigid (adjective)
extremely cold	extremely cold
	devoid of warmth and cordiality; expressive of unfriendliness or disdain
	sexually unresponsive