vulgar vs coarse

vulgar and coarse both are adjectives.

Word	Noun	Adjective	Verb	Adverb
vulgar	No	Yes	No	No
coarse	No	Yes	No	No

As adjectives, vulgar and coarse are synonyms defined as:

Other synonyms of vulgar include common, rough-cut, uncouth.

vulgar (adjective)	coarse (adjective)
conspicuously and tastelessly indecent	of textures that are rough to the touch or substances consisting of relatively large particles
of or associated with the great masses of people	of low or inferior quality or value
lacking refinement or cultivation or taste	lacking refinement or cultivation or taste
being or characteristic of or appropriate to everyday language