The unit circle can be memorized. BUT Its very hard.

Step 1. Draw the Lines
There are 16 lines. 3 each quadrant and the 4 quad lines

Step 2.
Angles is easy to remember.
Firstly. write the quad angles. You know these.
 Then, write the denominators. It follows a pattern. 3 at top, 3 at bottom, sandwich with 4, and 6.
Then, write the denominators. It follows a pattern. 3 at top, 3 at bottom, sandwich with 4, and 6.
 Now. Remember these numbers: 1,1,1,2,3,5,7,5,4,5,7,11
This is how we arrange them. They are the coefficients of pi and they are the numerators.
Now. Remember these numbers: 1,1,1,2,3,5,7,5,4,5,7,11
This is how we arrange them. They are the coefficients of pi and they are the numerators.

Step 3 - Cosine & Sine
You really only need to remember 3 pairs. (2 really). That is: ()
, () and ()
 Remember CAST rule. This will be how you dictate your next actions. What we do with there 3 remembered pairs.
Remember CAST rule. This will be how you dictate your next actions. What we do with there 3 remembered pairs.

 Lastly and DONT FORGET THIS, put in the ratios for the
Lastly and DONT FORGET THIS, put in the ratios for the 
