We see the Trinity in the very first verse of the Bible; Genesis 1:1. “In the beginning God created...” The word for God here in Hebrew is Elohim. The prefix, El-, means God and the suffix, -im, makes it plural. The word for created is bara and it is singular. The only way a plural subject could do a singular action is if the subject were one. This is a picture of the oneness of the Trinity.
In the first verse of the Gospel of John we read, “In the beginning was the Word, and the Word was with God, and the Word was God.” The word “Word” is a name for Jesus, showing us that Jesus is God. Jesus also said of Himself, “He who has seen Me has seen the Father” (John14:9) and “I and My Father are one” (John10:30). After His resurrection, Jesus appeared to the disciples, He breathed on them and said, “Receive the Holy Spirit” (John 20:22). And in Colossians 2:9 Paul writes, “For in Him [Jesus] dwells all the fullness of the Godhead bodily.” In these passages, we see the oneness of the Trinity.
Also, pertaining to us, we are told that each member of the Trinity would dwell within each believer. 2 Corinthians 6:16 speaks to God the Father dwelling in us; Ephesians 3:17 speaks of Christ dwelling in us; and John 14:16-17 speaks to the Holy Spirit dwelling in us. One of the beautiful things about John 14:16 is that when Jesus says, “another Helper” in the Greek the word for another means another of the same kind. This shows us again the oneness within the Trinity. These passages, and others, clearly show us that God reveals Himself in three persons—Father, Son, and Holy Spirit—and that these persons are co-equal and co-eternal. Father, Son, and Holy Spirit are one in position of authority, one in possession of perfect attributes, and one in the purpose of making salvation available to all.