BF IS A PORN ADDICT?!?

So this may be long but try to stick with me... My BF and I have been dating for almost a year and a half. We have a very open communication relationship... Or so I thought. The other night out of curiousity I went through his browser history. I found tons of normal porn (which I'm fine with) & TONS of tranny porn & some gay porn. I was heartbroken and confronted him nicely and he admitted that he's addicted to porn (he only watches it a few times a week???) and that the tranny and gay stuff was out of curiousity and because he's seen too much of the regular stuff. WHAT WOULD YOU DO IF IN THIS POSTITION? I love him so much and I don't want to just give up but I feel that he's really betrayed my trust.