Dear {Name},
I am so sorry. I was inappropriate, in your face, and out of control. My behavior at {time/incident} was clearly unacceptable, and I've already taken steps to understand why I acted in such an aggressive manner and how I can keep something like that from happening again. I have {seen a therapist/enrolled in an anger management course}.
I hope that our {friendship/relationship/working situation} is repairable. If not, I completely understand if you want to avoid interacting with me in the future. Please let me know how I can support your wishes to that end.
Sincerely,
{Name}
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