<p>Yuppie, why memorize the pi values for various degrees when you could simply convert them through multiplying them by pi/180? For example, 135 degrees = 135 pi/180 or 3 pi/4? That’s how I do it. Of course, through repetition, you’ll begin to memorize them naturally.</p>
<p>^ Huh, I’ve never thought of that. Seems much simpler with a calculator too</p>
<p>This may help for the angles in quadrants other than the first quadrant:</p>
<p>When I hear “2pi/3”, I just change it into sixths. I.e. -> 4 pi / 6
That tells me it is the 4th angle that I have memorized in the sixths. (the 1/2, sqrt(3)/2 ones)
Or, it is 1pi/6 past 3pi/6 (also known as pi/2, the top…)</p>
<p>That really helps me out with the 3rd and 4th quadrant angles.</p>
<p>Again: 5pi/3
Convert it into sixths
10 pi / 6
1pi/6 past 9pi/6 (i.e. the bottom)</p>
<p>Just remember 0, 3pi/6, 6pi/6, 9pi/6, 12pi/6 would be your (for the lack of a better word) “corners”. (just your multiples of 3 anyway…)</p>
<p>I am posting this without having read everyone else’s responses: It is quite necessary to memorize. Use patterns. It’s easier than you think. Getting around to the daunting circle is the hardest part. I just memorized the coordinates in the first quadrant (30, 45, 60) and of the “points” of the coordinate plane (90, 180, 270, 360/0). Using my pattern, I would draw a quick unit circle on tests, and it was always easy.*</p>
<p>Use whatever’s easiest for you, just do it!!! :)</p>