rough-cut vs coarse

rough-cut and coarse both are adjectives.

Word	Noun	Adjective	Verb	Adverb
rough-cut	No	Yes	No	No
coarse	No	Yes	No	No

As adjectives, rough-cut and coarse are synonyms defined as:

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

rough-cut (adjective)	coarse (adjective)
of stone or timber; shaped roughly without finishing	of textures that are rough to the touch or substances consisting of relatively large particles
lacking refinement or cultivation or taste	of low or inferior quality or value
	lacking refinement or cultivation or taste