Many people use the terms on two different axes. Theist/atheist refers to belief and gnostic/agnostic refers to knowledge. Or at least, belief that you know it is absolutely true.
In many cases, people who call themselves atheists and agnostics are both just agnostic atheists that choose their label for whatever reasons they have (that could include disagreeing with my definitions here, lol).
I would call that person an agnostic theist.
Many people use the terms on two different axes. Theist/atheist refers to belief and gnostic/agnostic refers to knowledge. Or at least, belief that you know it is absolutely true.
In many cases, people who call themselves atheists and agnostics are both just agnostic atheists that choose their label for whatever reasons they have (that could include disagreeing with my definitions here, lol).