There’s probably a lot of different variables, cows vs bulls, the breed, how they’re being raised, if they have calves with them, how you’re behaving, etc.

In general though, safest bet is always going to be to give them space and not approach them. Not to say they’re necessarily going to be aggressive or anything, but that’s just kind of rule number 1 with any animals you’re not familiar with.

Annecdotally, when I was a teenager, I did Philmont, which is a big property the Boy Scouts of America (now changing their name to Scouting America) owns in New Mexico, where scouts can go backpacking. They also maintain a working cattle ranch there, and I believe so e of the neighboring ranches allow their cattle to (grave? Free range? Roam? I’m not sure of the correct terminology) the Philmont property, so it’s not uncommon to encounter cows in various places there.

They give pretty much the same lecture, don’t approach them, don’t do anything to spook them, and give them some space.

At one point my group was hiking along a trail coming to a junction, and a few dozen cows came down the trail we were about to head up and went into the woods. We weren’t super close to them, but it was probably about the closest I’ve been to a cow outside of a petting zoo in my life, and there was nothing but a few yards of open trail between us. We just stood back and watched them go about their business, the cows didn’t pay any attention to us, we hung out for a couple minutes after they passed in case there were any stragglers, and sure enough there was a lone cow that came running down the trail trying to catch up with its friends.

I’m no cow-ologist, but my general understanding is that they tend to be fairly laid back, and if anything curious. That said, they’re big, powerful animals and you don’t want to spook them.