What does it mean to repent in the context of Peter's sermon?

In Peter's sermon on Pentecost, he urges the crowd to 'repent and be baptized every one of you in the name of Jesus Christ for the remission of sins' (Acts 2:38). Repentance is not merely feeling regret; it is a comprehensive change of heart and mind regarding sin. True repentance recognizes that one’s sin necessitated the crucifixion of Jesus and leads to a sincere acknowledgment of guilt before a holy God. This heartfelt sorrow prompts the believer to turn from sin and seek God's forgiveness actively, marking a transformative response to God's grace. The opportunity for repentance illustrates God's mercy, calling sinners to Himself and offering the gift of the Holy Spirit as confirmation of their new life.