My mate used to chew paracetamol. This is back when the only kind you could get were the round slabs big enough to engrave the ten commandments on.
God only knows how he managed it. I'd have taken my chances and swallowed them whole to be honest.
Best advice is to cut big tablets in two. If you're not sure about whether it's safe to do that, phone your local pharmacy and ask them. I can't see why it wouldn't be safe to cut them up.