During missions, sooner or later, you'll need to catch animals in a bear trap. This device can be created through the crafting menu.

Next, the bear trap (any animal can be caught in this trap, not just a bear) must be placed in the slot for an additional item in the character’s inventory.

Well, then everything is like in real life – you need to set a trap (or, you know what, a couple of traps, even!) in the path of the animal. And, creeping up to the animal from the other side, scare it in the direction you want. But, as in so called real life, the bear trap does not know what it got - the hoof of an unsuspecting innocent deer or your own dear foot. And alas, it will work in both cases. So take your time, and first of all, slooowly move away from the trap in the opposite direction.