Unit Circle + Radians

Any point of the unit circle

(cosΘ, sinΘ)

Gradient of a line on the unit circle

tanΘ

30 degrees

pi / 6

45 degrees

pi / 4

60 degrees

pi / 3

90 degrees

pi / 2

120 degrees

2pi / 3

135 degrees

3pi / 4

150 degrees

5pi / 6

180 degrees

pi

210 degrees

7pi / 6

225 degrees

5pi / 4

240 degrees

4pi / 3

270 degrees

3pi / 2

300 degrees

5pi / 3

315 degrees

7pi / 4

330 degrees

11pi / 6

360 degrees

2pi

ratios positive in quad 1

all

ratios positive in quad 2

sine

ratios positive in quad 3

tangent

ratios positive in quad 4

cosine