How do I determine the point on a square inside a circle depending on an angle? I can't figure out how to find $(s_x, s_y)$ (see picture, the blue marked intersection). I have $\alpha$, and the square is perfectly ins...--prophetes.ai

How do I determine the point on a square inside a circle depending on an angle? I can't figure out how to find $(s_x, s_y)$ (see picture, the blue marked intersection). I have $\alpha$, and the square is perfectly inside the square. Assume the radius is 1, since that isn't very important. Hobby programmers aren't the best at math I'm guessing, heh.. Sorry if this is very trivial. ![enter image description here](

$(x,y) = (\frac {\cos t}{|\cos t| + |\sin t|}, \frac {\sin t}{|\cos t| + |\sin t|})$