cogent(reasonable and convincing; based on evidence) adjective [UK: ˈkəʊ.dʒənt] [US: ˈkoʊ.dʒənt]
convincing(effective as proof or evidence) adjective [UK: kən.ˈvɪns.ɪŋ] [US: kən.ˈvɪns.ɪŋ]That's a very convincing argument. = Ese es un argumento muy convincente.
persuasive(convincing) adjective [UK: pə.ˈsweɪ.sɪv] [US: pər.ˈsweɪ.sɪv]John knew that Mary could be very persuasive. = John sabía perfectamente que tan convincente podría ser Mary.
convincentemente adverb
convincingly(in a convincing manner) adverb [UK: kən.ˈvɪn.sɪŋ.li] [US: kən.ˈvɪn.sɪŋ.li]