Hamlet Act II end of scene 2

Polonius enters the room anouncing the arrival of the players who then follow him into the room. Hamlet then askes on of them to give a speech on the fall of King Troy. He then invites them into the guest room and tells them he will be giving a speech on The Murder of Gonzago the following day. Leaving the room, Hamlet becomes very upset thinking about the players speech full of passion and love towards dead people he knew nothing about while he can't even take action for his father. Hamlet decides to find a way to make Claudius watch a play that has a similar plot to the one of him killing King Hamlet. If Claudius is guilty of the act, it will be visible in his actions and Hamlet will have hard evidence against him.