The prayer contains many many many types of things you could be sorry for. I am going to pick some and give them a try.
"For the sin which we have committed under duress or willingly.
And for the sin which we have committed by hard-heartedness.
For the sin which we have committed inadvertently."
This is not your usual sin stuff here. This is behavioral more that situational.
For the sins which we have committed under duress or willingly. That sure does cover a lot of things. Many of the sins of history have been committed under duress or so the books say. There certainly are things I have done that I considered under duress however that does not absolve the results or actions of the situation. One that comes to mind is having to fire an employee that you otherwise did not want to fire due to the direct command of a boss etc... The employee was no less out of a job and no less hungry or out of rent. You may not always have a choice in your actions but you can apologize and feel the wrongness of the situation. Maybe even learn from the situation and realize that the employee may have been the warning that you may just be next.
And for the sin which we have committed by hard heartedness. Once an action is done it is done, however at times we do consider the level of our heartedness in the situation. There are those people one has no patience for. Maybe that person is a family member, spouse, work associate or a child. However the person we are usually most hard hearted to is ourselves. We may give and give to others until there is nothing left, however then there is nothing left for ourselves either. Self doubt is such a strong little monster sitting on ones shoulder, making us make poor decisions about food, exercise, careers, etc etc the list goes on and on. Maybe an apology to ourselves is in order too.
For the sin which we have committed inadvertently. This is a hard one. The Webster dictionary defines inadvertent as unintentional or inattentive. There are so many things that I have done wrong and may not have meant it or may not even know I have done it. Who does one apologize to for things you have done that you did not foresee the outcome or were not aware of actions or results.
The moment that comes to mind is when I have been fed up with my kids and said something that ends up hurting their feelings without knowing. You can't always see peoples reactions to your behavior, especially when you are not aware your actions effected them. Another one is first thing in the morning when I am mamasauras and not fit company as I growl my way through the house till I feel better. For these sins maybe we just need to give extra love to those around us and try to be conscious of how our emotions and personality inadvertently effect others.
Hopefully this personal audit will help with personal growth sharing and love. Stay tuned for some more as the days lead up to Yom Kippur.