How did Henry show that he was sorry for Becket's murder?

Henry II showed his remorse for Thomas Becket's murder by publicly expressing regret and seeking penance. He famously walked barefoot to Becket's tomb in Canterbury in 1174, where he was reportedly whipped by monks as an act of contrition. Additionally, he established a shrine for Becket and allowed the Church to investigate the circumstances of the murder, demonstrating a commitment to reconciliation with the Church and the saint's legacy.