When you’re a new manager, employees quickly form opinions of you based on what you say and what you do. They want to know that you care about them and their work. You can show that you’re trustworthy by being consistent. Align your actions with the values you profess. For example, if you emphasize rigor and accuracy to your team, you should vet your own information carefully and invite them to question your conclusions. Keep your promises and model ethical behavior from day one, even if it means making an unpopular decision, like reassigning a well-liked employee who has a conflict of interest. By behaving consistently, you teach people that they can interpret your actions in a straightforward way, without worrying about your intentions.
Adapted from The Harvard Business Review Manager's Handbook