unattached vs unengaged

unattached and unengaged both are adjectives.

Word	Noun	Adjective	Verb	Adverb
unattached	No	Yes	No	No
unengaged	No	Yes	No	No

unattached (adjective)	unengaged (adjective)
not associated in an exclusive sexual relationship	not busy or occupied; free
not fastened together	not promised in marriage
(of animals) able to swim about; not attached