As someone who lives around a few cats, I can confirm that. They wag their tail when they feel agitated, not just annoyed. Generally you also aren't supposed to approach a cat, but be in a position that the cat will approach you. That way you're less likely to cause it to dislike you.
Yeah, this is true. It's basically their way of telling you to back off, without going full on defensive mode with hissing and raised fur.
Understanding cats' emotion with their tails.PontaAnnoyedI wonder if we get along well?When I call out my cat's name,it gets annoyed.scared
happy
annoyed
friend
...
likeWhen I call his name, he responds by wagging his tail.Ponta.