How to memorize the unit circle without memorizing it

00:59 special triangles 04:30 putting special triangle values onto the unit circle (1st quadrant) 08:00 filling out the rest of the unit circle by symmetry/reflection 12:25 filling out the angles associated with the coordinates on the unit circle I hear from students that it is impossible to memorize the unit circle, and I agree. It is impossible. UNLESS you work your way through the unit circle by symmetry. This video goes into the details of such a method. Enjoy!