strong and convincing
cogent - convincing
Something ‘cogent’ is clearly expressed and powerfully persuasive. This formal word implies the application of logical and compelling reasoning as opposed to loud emotional outbursts about something. In any kind of professional environment, the ability to make a cogent argument or devise a cogent strategy is highly valued.
Initially, I wasn’t in favour of the proposal, but Claire made such a cogent argument for it that I changed my mind.
The cogency of the strategy was proven by its unqualified success. Everything went exactly as we hoped it would.
The lack of cogent evidence means that we will have to release the suspect even though we believe that he is guilty.