Final answer:
Agamemnon and Menelaus convinced Odysseus to join the Trojan War by invoking his sense of honor and duty, rather than by offering treasure, a princess' hand, or threatening exile. Option D.
Step-by-step explanation:
In the mythological narrative of the Trojan War, detailed in ancient Greek literature such as Homer's 'Iliad', the Greek commander Agamemnon and his brother Menelaus sought to persuade Odysseus to join their military campaign against Troy. Odysseus, who was known for his cunning, did not initially wish to participate in the war.
To ensure his participation, Agamemnon and Menelaus had to devise a method to get him to change his mind.
According to the myths, Odysseus pretended to be insane to avoid the war, but they uncovered his ruse by placing his son in front of his plow.
Facing this situation, Odysseus revealed his sanity.
It wasn't by offering him a vast treasure (A), promising the hand of a princess (B), or threatening him with exile (D) that they managed to convince him; instead, they appealed to his sense of honor and duty (C), leveraging the social expectations and obligations of the time to compel him to join the cause, a tactic that ultimately worked.
This showcases the importance of personal reputation and societal duty in ancient Greek culture.
So Option D is correct answer.