I'm having a timed test on the unit circle and I have ten minutes to fill in the coordinates, radian value, and the degree value. I know that you can find all of these by dividing the circle into 8 or 12 parts you can find all of these, but I would like to know a way to do it a lot faster. Any help would be gladly appreciated!

Your test has probably passed, but if you know the radians to degrees and degrees to radians formula, you should be good. But, if you memorize that starting from 0 degrees, the cosine value numerators go in an order like this, 3,2,1,1,2,3,3,2,1,1,2,3. And then 2 and 3 are the only ones with the square root symbol. And remember, everything is over 2. And then the sine numerator values are 1,2,3,3,2,1,1,2,3,3,2,1.

Hope this helps.