The Unit Circle

d = degrees r = radians (x,y) = coordinate t = tangent of that point

1d

1d

0°, 360°

2d

30°

3d

45°

4d

60°

5d

90°

6d

120°

7d

135°

8d

150°

9d

180°

10d

210°

11d

225°

12d

240°

13d

270°

14d

300°

15d

315°

16d

330°

1r

2π

2r

π/6

3r

π/4

4r

π/3

5r

π/2

6r

2π/3

7r

3π/4

8r

5π/6

9r

π

10r

7π/6

11r

5π/4

12r

4π/3

13r

3π/2

14r

5π/3

15r

7π/4

16r

11π/6

1-(x,y)

(1,0)

2-(x,y)

(√3/2, 1/2)

3--(x,y)

(√2/2, √2/2)

4-(x,y)

(1/2, √3/2)

5-(x,y)

(0,1)

6-(x,y)

(-1/2, √3/2)

7-(x,y)

(-√2/2, √2/2)

8-(x,y)

(-√3/2, 1/2)

9-(x,y)

(-1, 0)

10-(x,y)

(-√3/2, -1/2)

11-(x,y)

(-√2/2, -√2/2)

12-(x,y)

(-1/2, -√3/2)

13-(x,y)

(0, -1)

14-(x,y)

(1/2, -√3/2)

15-(x,y)

(√2/2, -√2/2)

16-(x,y)

(√3/2, -1/2)

1 tan

0

2 tan

√3/3

3 tan

1

4 tan

√3

5 tan

undefined

6 tan

-√3

7 tan

-1

8 tan

-√3/3

9 tan

0

10 tan

√3/3

11 tan

1

12 tan

√3

13 tan

undefined

14 tan

-√3

15 tan

-1

16 tan

-√3/3

All radi of the unit circle are

1 unit

What does the x in the (x,y) mean in terms of trigonometric functions?

cosine

What does the y in the (x,y) mean in terms of trigonometric functions?

sine

How do you find tan?

y/x

What phrase do you use for trigonometric functions?

SOH CAH TOA