icy vs frigid

icy and frigid both are adjectives.

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

As adjectives, icy and frigid are synonyms defined as:

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

As adjectives, icy and frigid are synonyms defined as:

icy and frigid: devoid of warmth and cordiality; expressive of unfriendliness or disdain

Other synonyms of icy include frosty, frozen, glacial, wintry.

icy (adjective)	frigid (adjective)
extremely cold	extremely cold
devoid of warmth and cordiality; expressive of unfriendliness or disdain	devoid of warmth and cordiality; expressive of unfriendliness or disdain
covered with or containing or consisting of ice	sexually unresponsive
shiny and slick as with a thin coating of ice