coif vs coiffe

coif is a noun but coiffe is not a noun.

Word	Noun	Adjective	Verb	Adverb
coif	Yes	No	Yes	No
coiffe	No	No	Yes	No

As verbs, coif and coiffe are synonyms defined as:

Other synonyms of coif include arrange, coiffure, do, dress, set.

coif (noun)	coiffe (noun)
a skullcap worn by nuns under a veil or by soldiers under a hood of mail or formerly by British sergeants-at-law
the arrangement of the hair (especially a woman's hair)

coif (verb)	coiffe (verb)
arrange attractively	arrange attractively
cover with a coif