I know a quick google brings up plenty of resources on memorization techniques for the unit circle but I thought I would get the math stack exchange's opinion.
What is the best way to memorize the radian angles and their corresponding points on the unit circle? ( Right now I am thinking of just drawing it from scratch until I've got it.)
Is memorizing the circle the best way to be able to quickly solve trig functions? (When first learning at least)
How would I solve a trig function that takes an angle as an argument that has not been memorized? (You can memorize the angles that are common but there's no way you could memorize every possible angle between 0 and 2pi, is there?)