Final answer:
The method of persuasion that shows credibility and trustworthiness is ethos.
Step-by-step explanation:
The method of persuasion that shows the audience you are credible and trustworthy is ethos. Ethos is an appeal to authority, credibility, and trustworthiness. When using ethos, the speaker or writer establishes their own credibility by presenting evidence of their knowledge, expertise, or ethical character.
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