What is the Halakhic Status of the Doctrine of the Trinity?

by Aryeh Klapper
Texts followed by analysis: 
Sanhedrin 63b
A beraita: “And the names of other divinities you must not mention” – this forbids a person to say to his friend ‘Wait for me next to that avodah zarah’; “it must not be heard on account of you” –  this forbids one from taking an oath in its name, [...]