How to implement character rotation?

Question

Game development

Suppose I have a character with 8 pictures, each of which is directed in a certain direction, that is, we will agree:
North, West, South, East
Northwest, Southeast, Southwest, etc.
And I had a question how to do so that the character turned to one of the sides, relative to the mouse cursor, it was not the picture itself that was rotated, but the desired tile was selected, I did not find it on the Internet, because I cannot correctly ask the request

Answer 1

You can calculate the angle of the line between the character and the mouse. There is a formula
and now you have an angle from 0 to 360, you can change the sprite depending on the value of this angle.