How do Bible Trinitarians explain the three Persons of the Trinity sharing one will but acting distinctly in Scripture?

In passages like John 14–16 and the baptism of Jesus, the Father, Son, and Holy Spirit appear to act in distinct ways, - The Son is baptized - The Spirit descends “like a dove” - The Father speaks from heaven yet Trinitarian theology teaches that God is one in essence. How do theologians explain the distinction of actions and roles among the Trinity while maintaining perfect unity of will? Are there differences in interpretation between major Trinitarian traditions (Catholic, Orthodox, Protestant)?