headlight vs headlamp

headlight and headlamp both are nouns.

Word	Noun	Adjective	Verb	Adverb
headlight	Yes	No	No	No
headlamp	Yes	No	No	No

As nouns, headlight and headlamp are synonyms defined as:

headlight and headlamp: a powerful light with reflector; attached to the front of an automobile or locomotive

headlight (noun)	headlamp (noun)
a powerful light with reflector; attached to the front of an automobile or locomotive	a powerful light with reflector; attached to the front of an automobile or locomotive