Chosen Solution

My iphone 4s which has a smashed, broken screen, is turned on and connected to my computer since I can hear the charging ping every 5 seconds or so, but since the screen is completely black, it won’t allow me to let my phone trust the computer. I really want to recover pictures and unfortunately I didn’t backup anything on iCloud and I’m not willing to get it repaired since i have a new phone, so is there any way i can get my phone to trust my computer or somehow recover my pics without paying???

No, you will have to repair the screen.

You might be able to use the application Ifile explorer you can download free versions something to look into I’ve done this before it’s really hit or miss though