They’re also incredibly adept at reading human body language and emotional state. Horses with the gift of clairvoyance read subtle shifts in weight of their rider and know to jump or turn left before the rider says so or uses the reins.

I forget which book it’s in, but there’s an often-repeated tale of a horse who learned to do sums and could add numbers even without his owner in sight. It was eventually discovered that he read the anticipation of his observers and knew to stop stomping his hoof once they relaxed after peak tension.

Clever Hans: https://en.wikipedia.org/wiki/Clever_Hans

So do dogs: for example, if you do something that makes them stressed, they use calming signals such as licking their own lips or yawning.

And it seems, we are much better at linking to this than to audible utterances. Compare the various "whisperers".