Trust issues

Okay so there was this girl my bf used to like and they hung out before and she is beautiful and once he saved her picture while he was at my house and he told me he just done it out of habit and apologized. Well months went on and here recently that same girl got a sex video of her posted online and my friends told me about it. I told my bf just because it was kinda wild and I asked him if he was gonna look it up and he told me no. I logged into his account bc I didn