Can pets read human emotions?

I'm a firm believer that certainly dogs can read ones mood, probably picks up some kind of vibes. Or maybe it's the animals "sixth sense" but they certainly will pick up on a mood very quickly.
Cats I think to a point are capable of the same, especially if they are an established house cat (rather than one who roams, coming in for food etc.) Other pets no except maybe small monkeys. Never having owned a monkey that's just speculation.