An argument is cogent if and only if the truth of the argument's premises would render the truth of the conclusion probable (i.e., the argument is strong), and the argument's premises are, in fact, true. Cogency can be considered inductive logic's analogue to deductive logic's "soundness." As an example, consider the following.
The truth of the premises would, indeed, make the conclusion probable. Therefore, this argument is strong. If the premises are, in fact, true, then the argument is also cogent.
Good argument, as used by philosophers and many others, means simply a sound or cogent argument. If one has offered a sound or cogent argument in defense of one's conclusion, then one has stated a true view, or at least a probably true view. The premises of one's argument support, or, with some sophisticated complications aside, justify one's belief in the conclusion.
A good argument is the closest thing we have to a guarantee that a belief is true. If one is armed with a good argument, one has helped to justify one's belief in the conclusion, and to remove doubts about it.