The short answer
Stop performing certainty you don't have. Say 'I don't know yet, here's how I'll find out' instead. Teams trust leaders who are straight with them far more than leaders who sound confident but turn out to be wrong. One honest answer builds more trust than ten polished ones.
Research on team trust is clear on one thing: trust breaks down fast when people sense a gap between what a leader says and what is real. Your team has already picked up on that gap. The damage isn't that you don't know things — every leader has blind spots. The damage is that you've been signaling confidence you don't have, and now they're quietly fact-checking everything you say.
Marcus Aurelius put it plainly: don't undervalue yourself so much that you hide what is honest. He wasn't talking about weakness — he was talking about courage. Saying 'I don't know' is the stronger move. It tells your team you won't dress up uncertainty to protect your image. That's the kind of leader people follow.
This week, try this: the next time you don't know something in a team setting, say it out loud — 'I don't have a firm answer on that yet. Give me until Thursday and I'll come back with something solid.' Then come back with it. One honest loop like that, completed, will do more for your trust balance than months of performed confidence.