how to apologize sincerely

A sincere apology requires taking full responsibility, acknowledging the specific harm caused, expressing genuine remorse, and committing to concrete behavioral changes.

Acknowledge the specific offense. Name the specific behavior or action that caused harm. Avoid vague statements like "I'm sorry for whatever I did" and instead clearly identify the offense.
Accept full responsibility. Use active, first-person language to own your actions. Avoid "if" statements, "but" justifications, and passive constructions like "mistakes were made," which deflect blame.
Offer repair and commit to change. Propose a tangible way to make amends or correct the situation. Explain exactly what you will do differently in the future to ensure the behavior does not repeat.
Listen and respect their response. Give the other person space to express their feelings and respond on their own terms. Listen actively without interrupting or trying to defend yourself.