sarcastor said:use dead eye to shoot them.
the real question is how the fuck am I suppose to kill 2 cougars with my knife when they are just sooo freaking fast?
I just did this today, and I was surprised how easy it was, which I'm sure was a lucky break for the most part. It missed an attack, and I started wailing on it. It ran away, so I got on my horse and chased it down. I was very aggressive. Bad kitty! The other one killed my horse, but I jumped up and started attacking it immediately. It doesn't take many swipes to kill it. Maybe around 3 or 4 I think. Try equipping the knife and using your horse to charge as close as possible and jump off swinging like mad.