If Jesus is part of the Godhead, how can he appease only the Father and not the entire Godhead, which would contradict the unity of God?

The Bible clearly affirms the divinity of the Father, the Son, and the Holy Spirit, each being fully God yet distinct in personhood. The New Testament presents Jesus as both fully divine and fully human, which is essential for understanding his sacrificial role. By offering himself, Jesus satisfied the requirements of divine justice while also allowing for mercy towards humanity. This act does not imply a division within the Godhead but rather showcases the unity and cooperative work of the Trinity in the plan of salvation. The Father, Son, and Holy Spirit are in perfect agreement regarding redemption, highlighting their essential unity despite their distinct roles.