Final answer:
The term 'implacable' is used by Sir Toby in 'Twelfth Night,' not in 'Hamlet' or 'Macbeth.' 'Hamlet' involves inexpressible emotions, while 'Macbeth' demonstrates inevitable action in response to events.
Step-by-step explanation:
The correct answer to the question, "In this play, Sir Toby belches out Shakespeare's only use of 'implacable' in Twelfth Night. Which of the following options is correct?" is Twelfth Night. While Hamlet and Macbeth are other plays written by William Shakespeare, the term 'implacable' is explicitly used in the comedic play Twelfth Night, specifically by the character Sir Toby.
Hamlet is often analyzed for its deep psychological complexity and the rich emotional landscape of its principal character, who grapples with his feelings in a way that's inexpressible and disproportionate to the facts that confront him. Conversely, in Macbeth, the emotions and events align to create an 'artistic inevitability' that drives the action forward.
Sir Toby's use of 'implacable' in Twelfth Night uniquely contributes to the humor and character development in the play, illustrating the rich diversity within Shakespeare’s works.