engagement vs tryst

engagement and tryst both are nouns.

Word	Noun	Adjective	Verb	Adverb
engagement	Yes	No	No	No
tryst	Yes	No	No	No

As nouns, tryst is a hyponym of engagement; that is, tryst is a word with a more specific, narrower meaning than engagement:

Other hyponyms of engagement include blind date, double date, rendezvous, sundate.

engagement (noun)	tryst (noun)
the act of sharing in the activities of a group	a secret rendezvous (especially between lovers)
a hostile meeting of opposing military forces in the course of a war	a date; usually with a member of the opposite sex
the act of giving someone a job
employment for performers or performing groups that lasts for a limited period of time
a mutual promise to marry
contact by fitting together
a meeting arranged in advance