To earn this trophy you must perform each type of predator takedown at least once while playing the game.
You can access the list of all takedowns in game by going to your upgrade menu and then looking through your moves list in the centre of the upgrades categories.
These are the takedowns you must do:Inverted Takedown
Smoke Pellet Takedown
Takedown From Above
Line Launcher Takedown
Wooden Wall Takedown
Floor Grate Takedown
Grappel Boost Takedown
Ceiling Grate Takedown (From Above)
Ceiling Grate Takedown (From Below)
I personally just waited until around the end of the game and looked at the list to see whatever ones I knew I definitely hadn't done yet. I did the line launcher takedown and the trophy instantly popped. So you never know, you may just be one or two away from completing this through casual gameplay. Worst case scenario is you don't know what you have and haven't completed so just start at the beginning of the list and work your way through it.
Here is a video by PowerPyx showing each takedown and how to do each of them