In a way that is clear, logical, and convincing; presenting arguments that are hard to disagree with.
From Latin 'cogens' (present participle of 'cogere,' meaning to drive or compel), suggesting something that compels belief. The adverb form evolved to describe reasoning that compels acceptance through its strength and clarity.
When someone speaks cogently, their words are so logical and clear that they practically force you to agree—'cogent' comes from the Latin word meaning 'to compel,' so cogently means speaking in a way that compels understanding!
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