If you can get on top a cliff with a rex at the bottom, it won’t be able to reach you. Shoot tranq arrows/darts till it starts running from you, and then keep shooting while you chase it. Eventually it’ll pass out. Make sure you have a ton of prime meat and/or things nearby you can kill for prime meat....
I’ve tamed 3 rexes this way
If you use the bear trap strategy which is if you lead it into a Dino gateway that is shaped in a triangle and with a bear trap in the middle (Large Beartrap) and when it is stuck you must put a dinogate behind it to trap it and then knock out. (hope this helped and "If" I win could it be an Xbox voucher, thanks.)
You can use the normal darts or arrows. But the fastest way to tame a Rex .
Get under its belly as fast as you can and rub its belly, instant tame :) all you new player try it out and you'll be riding like a king like us vets !!
Create a 3x3 mobile taming pen 3 walls high on a raft with a Dino gateway on one side and ramps on the other. Use a flyer to lead it up the ramp into the pen then move it to a safe area to tame. I got 2 150s without a single issue.