How does miller make danforth’s actions believable?

Danforth approaches the witchcraft trials with a strict adherence to rules and law that obscure any sense of rationality, for under his legal dictates an accusation of witchery automatically entails a conviction. Danforth shows that his greatest interest is preserving the reputation of the court when he prompts Proctor to sign a confession, thus precluding the backlash of his execution. By act 3 Danforth is more concerned about his position of power and his life being endangered as more people refute the court.