I defend a relative identity solution to the identity puzzle posed by the doctrine of the Trinity. It has been argued that relative identity theories which admit absolute identity, such as the account proposed here, do not succeed in saving the doctrine of the Trinity from logical incoherence. I show that this argument fails. Relative identity theories that admit absolute identity are logically conservative, metaphysically innocent, and unproblematic. And, given the account I propose we can, without incurring any logical or metaphysical costs, hold that Father, Son, and Holy Spirit are the same being but not the same trinitarian person.