batsman vs batter

batsman and batter both are nouns.

Word	Noun	Adjective	Verb	Adverb
batsman	Yes	No	No	No
batter	Yes	No	Yes	No

As nouns, batsman and batter are synonyms defined as:

Other synonyms of batsman include hitter, slugger.

batsman (noun)	batter (noun)
(baseball) a ballplayer who is batting	a liquid or semiliquid mixture, as of flour, eggs, and milk, used in cooking
	(baseball) a ballplayer who is batting

batsman (verb)	batter (verb)
	make a dent or impression in
	strike violently and repeatedly
	strike against forcefully