I guess biblically it's not called the Trinity, but let me put it this way: If God the Father, Jesus, and the Holy Spirit are all perfect, and they are not three in one, Then we have a polytheistic religion, don't we? Trinity simply means three in One,
7 For there are three that bear record in heaven, the Father, the Word, and the Holy Ghost: and these three are one.
8 And there are three that bear witness in earth, the Spirit, and the water, and the blood: and these three agree in one - 1 John 5:7-8 (KJV).
So maybe Trinity's just a word we came up with so we don't have to keep saying three in one, but the concept remains the same.