If you've struggled with sometimes allowing your anger to show through in front of your soldiers, how have you tackled or resolved the issue?

You praise in public and admonished in private.

Step one (most important), identify the problem, which you have.
Step two, just try to be calm and thoughtful during your interactions.
Step three, understand you won't always succeed, but it'll get better with effort.
Improving is a conscious choice. You can run around wasting energy being angry all of the time or try to think through things.

Generally when I would go quiet that's when my soldiers would worry. They knew I was contemplating some old school remedy and was trying to decide on the most interesting way of laying it on them.

One if the way I was to try to wait before I spoke. Take a couple of deep breaths before speaking. In regards to regain trust is respect. Hold a informal meeting and have them tell you what is on their mind. An mutual understanding is critical. If you need to apologize, do so. It will take some time to gain their trust. Lead the way you should. Lead in a way that embodies that kind of respect. Talk to your platoon leader or your local counseling center and get some help with your anger issues.

Get more involved with them. Talk with them about situations you've experienced that are similar to or relatable to their's. Ask them questions about what they are trying to accomplish like, "How do you plan to do that?" Don't belittle their accomplishments and ambitions. Become someone they perceive to be on their side. Show them how to do things that they're not good at. They already know you are an NCO and are beholden to the Army's expectations of you. Get out from behind your fortress and engage them. I'm not telling you to smoke dope and have sex with them, lol. I'm saying be an asset to their development rather than a hindrance. They are not your competition. You can always smoke their asses if it starts to go south.

Well personally, I would say take a look at yourself. Why are you angry? Is it factors like stress, personal life, etc.? Is it the Soldier? Or the Soldier’s situation? Once you figure it out, you can plan how to proceed. Next, explain to the Soldiers that you made a mistake losing your temper and if you feel you should apologize. Then do so. There’s nothing wrong with an apology. Some people will think an apology is weak, but it’s really not.