Search Results: using me for phone sex

I doubted him because he was still on active on Tinder. We met on Tinder and I told him I deleted it but saw he was still active when we officially got together as boyfriend and girlfriend. I kept it to myself for a week and then I confronted him. At first he said he doesn't know why it shows he's still active.
Then a few minutes he admitted that he might have checked it now and then just to see who he matched with and doesn't know why I doubt him.
Also, we had unprotected sex about 3 times and he said sorry he doesn't buy condoms on the regular expecting to sleep around. He doesn't want to use old expired things not knowing when he will sleep around again. He says all this doubt hurts him and it bothers him. He thinks that I will never trust him.

I have really bad trust issues but that Tinder thing put me off.
He asked me if I would like to delete the app for him. I said no, and then over the phone talking he said he uninstalled it. Of course that's just words though. I'm not there physically to see if he did or not. How can I believe it? Just magically believe and hope for the best that he did delete it?
He says he really wants this to work and he really likes me. That if something bothers me I need to tell him immediately and not wait a week or so. I don't believe he cheats physically because every where he goes he lets me know who he is with, I can hear them on the phone, and I know his schedule pretty well. We talk everyday and all day as well. I really like him and I want this to work, but im very insecure.