UNIT CIRCLE

Unit Circle

The circle of radius one centered at the origin in the xy-plane.

0º

0 (1,0)

30º

π/6 (√3/2, 1/2)

45º

π/4 (√2/2, √2/2)

60º

π/3 (1/2, √3/2)

90º

π/2 (0,1)

120º

2π/3 (-1/2, √3/2)

135º

3π/4 (-√2/2, √2/2)

150º

4π/5 (-√3/2, 1/2)

180º

π (-1,0)

210º

7π/6 (-√3/2, -1/2)

225º

5π/4 (-√2/2, -√2/2)

240º

4π/3 (-1/2, -√3/2)

270º

3π/2 (0, -1)

300º

5π/3 (1/2, -√3/2)

315º

7π/4 (√2/2, -√2/2)

330º

11π/6 (√3/2, -1/2)

360º

2π (1,0)

sin(0°)

0

sin(30°)

1/2

sin(45°)

√2/2

sin(60°)

√3/2

sin(90°)

1

sin(120°)

√3/2

sin(135°)

√2/2

sin(150°)

1/2

sin(180°)

0

sin(210°)

−1/2

sin(225°)

−√2/2

sin(240°)

−√3/2

sin(270°)

−1

sin(300°)

−√3/2

sin(315°)

−√2/2

sin(330°)

−1/2

sin(360°)

0

cos(0°)

1

cos(30°)

√3/2

cos(45°)

√2/2

cos(60°)

1/2

cos(90°)

0

cos(120°)

−1/2

cos(135°)

−√2/2

cos(150°)

−√3/2

cos(180°)

−1

cos(210°)

−√3/2

cos(225°)

−√2/2

cos(240°)

−1/2

cos(270°)

0

cos(300°)

1/2

cos(315°)

√2/2

cos(330°)

√3/2

cos(360°)

1

cos(π/6)

√3/2

cos(π/4)

√2/2

cos(π/3)

1/2

cos(π/2)

0

cos(2π/3)

−1/2

cos(3π/4)

−√2/2

cos(5π/6)

−√3/2

cos(π)

−1

cos(7π/6)

−√3/2

cos(5π/4)

−√2/2

cos(4π/3)

−1/2

cos(3π/2)

0

cos(5π/3)

1/2

cos(7π/4)

√2/2

cos(11π/6)

√3/2

cos(2π)

1

sin(π/6)

1/2

sin(π/4)

√2/2

sin(π/3)

√3/2

sin(π/2)

1

sin(2π/3)

√3/2

sin(3π/4)

√2/2

sin(5π/6)

1/2

sin(π)

0

sin(7π/6)

−1/2

sin(5π/4)

−√2/2

sin(4π/3)

−√3/2

sin(3π/2)

−1

sin(5π/3)

−√3/2

sin(7π/4)

−√2/2

sin(11π/6)

−1/2

sin(2π)

0