The best way to tame a tapejara after the patch to rare flowers is to use a pteranodon to get close, eat a rare flower, and watch the thing try to rip your face off. A tame pen is advised as well as a high level pteranodon or flier otherwise you have to explain why you and your tame got killed by a Dino that runs away from people.

More Tapejara Taming & KO Tips