My boyfriend doesn't trust me

My boyfriend loves me unconditionally, he's made that very clear. However, he is extremely jealous and always accuses me of cheating. I was hanging out with one of my best girl friends today, and she brought along a close guy friend of hers. I snapchatted my boyfriend a selfie of the 3 of us watching The Bachelorette and he immediately responds "Who's the guy?", "Why are you with him?", "You blew him. I know it." I love him so much, but he constantly accuses me of cheating. Cheating on him has never even crossed my mind and I've told him that, but for some reason he is still convinced that I'm cheating. What should I do?