The Unit Circle
315 degrees (radians)
7pi/4
210 degrees (radians)
7pi/6
180 degrees (coordinates)
(-1,0)
240 degrees (coordinates)
(-1/2,-root3/2)
120 degrees (coordinates)
(-1/2,root3/2)
135 degrees (coordinates)
(-root2/2, root2/2)
330 degrees (radians)
11pi/6
Quadrant II Reference angle
180-theta
360 degrees (radians)
2pi
120 degrees (radians)
2pi/3
Quadrant IV Reference angle
360-theta
270 degrees (radians)
3pi/2
135 degrees (radians)
3pi/4
240 degrees (radians)
4pi/3
300 degrees (radians)
5pi/3
225 degrees (radians)
5pi/4
150 degrees (radians)
5pi/6
180 degrees (radians)
pi
90 degrees (radians)
pi/2
60 degrees (radians)
pi/3
Quadrant III Reference angle
theta-180
225 degrees (coordinates)
(-root2/2,-root2/2)
210 degrees (coordinates)
(-root3/2,-1/2)
150 degrees (coordinates)
(-root3/2,1/2)
270 degrees (coordinates)
(0,-1)
90 degrees (coordinates)
(0,1)
0/360 degrees (coordinates)
(1,0)
300 degrees (coordinates)
(1/2,-root3/2)
60 degrees (coordinates)
(1/2,root3/2)
45 degrees (coordinates)
(root2/2, root2/2)
315 degrees (coordinates)
(root2/2,-root2/2)
330 degrees (coordinates)
(root3/2,-1/2)
30 degrees (coordinates)
(root3/2,1/2)
Converting radian to degrees
*180/pi
Converting degrees to radian
*pi/180
Unit Circle in 30 degrees
0, 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360
Unit Circle in 45 degrees
0, 45, 90, 135, 180, 225, 270, 315, 360
Unit Circle in pi/4
0, pi/4, pi/2, 3pi/4, pi, 5pi/4, 3pi/2, 7pi/4, 2pi
Unit Circle in pi/6
0, pi/6, pi/3, pi/2, 2pi/3, 5pi/6, pi, 7pi/6, 4pi/3, 3pi/2, 5pi/3, 11pi/6, 2pi
Find coterminal angles?
add or subtract 360/2pi
45 degrees (radians)
pi/4
30 degrees (radians)
pi/6
Quadrant I Reference angle
theta