bicorne vs cocked hat

bicorne and cocked hat both are nouns.

Word	Noun	Adjective	Verb	Adverb
bicorne	Yes	No	No	No
cocked hat	Yes	No	No	No

As nouns, cocked hat is a hypernym of bicorne; that is, cocked hat is a word with a broader meaning than bicorne:

bicorne: a cocked hat with the brim turned up to form two points
cocked hat: hat with opposing brims turned up and caught together to form points

bicorne (noun)	cocked hat (noun)
a cocked hat with the brim turned up to form two points	hat with opposing brims turned up and caught together to form points