I have frequently heard non-Christians assert that the Trinity of Christianity and the Trimurti of Hinduism are equivalent "triple god" concepts.
This, however, is a gross misunderstanding.
Yes, the number three features prominantly in both teachings, but that is where the similarity largely ends.
Brahma (the creator), Vishnu (the preserver) and Shiva (the destroyer) are temporally differentiated. Not so with the Father (God above us), the Son (God among us) and the Spirit (God within us). They are equally active in every age. In the beginning, in the end, and in between.
In essence, the Trimurti concept and the Trinity concept run perpendicular to one another, as I have tried to capture in the diagram above. Only if Brahma, Vishu and Shiva were equally active in the acts of creation, preservation and destruction could they more genuinely said to be equivalent.
Of course, this is somewhat academic as the Trimurti concept is not generally accepted by Vaishnavites or Shaivites with Hinduism. In my experience the Trimurti is more often bought up by non-Hindu, non-Christian westerners as personal justifications for different paths altogether. My plee is simply this: if you want to follow a different path, fine, but please refrain from misrepresenting mine as you go about it. Do as you would be done by and all that.