Depends on the model, but e.g. [1] found many models perform better if you are more polite. Though interestingly being rude can also sometimes improve performance at the cost of higher bias

Intuitively it makes sense. The best sources tend to be either of moderately high politeness (professional language) or 4chan-like (rude, biased but honest)

1: https://arxiv.org/pdf/2402.14531

The way I think of it, talking to an LLM is a bit like talking to myself or listening to an echo, since what I get back depends only on what I put in. If it senses that I'm frustrated, it will be inclined to make even more stuff up in an attempt to appease me, so that gets me nowhere.

I've found it more useful to keep it polite and "professional" and restart the conversation if we've begun going around in circles.

And besides, if I make a habit of behaving badly with LLMs, there's a good chance that I'll do it without thinking at some point and get in trouble.

It's a good habit to build now in case AGI actually happens out of the blue.