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