trot vs gait

trot and gait both are nouns.

Word	Noun	Adjective	Verb	Adverb
trot	Yes	No	Yes	No
gait	Yes	No	No	No

As nouns, gait is a hypernym of trot; that is, gait is a word with a broader meaning than trot:

trot: a gait faster than a walk; diagonally opposite legs strike the ground together
gait: a horse's manner of moving

trot (noun)	gait (noun)
a slow pace of running	a person's manner of walking
a gait faster than a walk; diagonally opposite legs strike the ground together	a horse's manner of moving
a literal translation used in studying a foreign language (often used illicitly)	the rate of moving (especially walking or running)

trot (verb)	gait (verb)
run at a moderately swift pace
ride at a trot
cause to trot