Does OpenGL display list bake glVertex data?

I've been using OpenGL in simple immediate mode for a while, and am trying to pass on to retained mode with display lists (which I sadly learned has been deprecated a while). What I would like to know, is when I type:

glNewList(list, GL_COMPILE);
glBegin(GL_TRIANGLE_FAN);
    glVertex2f(0.0f, 0.0f);
    for (int i = 0; i < 10; i++)
    {
        glVertex2f(radius * cos(i * 2.0f * PI / 9.0f), radius * sin(i * 2.0f * PI / 9.0f));
    }
glEnd();
glEndList();

does OpenGL precalculate all the 10 vertices in for loop and send them to graphics card baked, like:

glVertex2f(0.5f, 0.0f);
glVertex2f(0.499f, 0.0055f);
//so and so forth 10 times...

or does it try to do the for loop (and many sin / cos operations) all over for each frame? In other words, is it reasonable to store such a round shape in display lists (and do the rest with glTranslatef, glRotatef, etc...) to avoid trigonometric operations in each frame update, or is there no performance gain at all?

Edit: To avoid a confusion, I intend to create this display list once using the for loop, and then call it by glCallList(list) in each frame update (i.e. glutDisplayFunc()). I do not create a list for each and every frame.

Only the GL command sequence and parameters are "baked" into the display list. Otherwise OpenGL would have to use some sort of terrifying longjmp() monstrosity to re-execute (along with the complete process state at that point!) the code between glNewList()/glEndList().