Unit Circle (Fractions)

(1,0)

0, 2π

(√3/2, 1/2)

π/6

(√2/2, √2/2)

π/4

(1/2, √3/2)

π/3

(0,1)

π/2

(-1/2, √3/2)

2/3π

(-√2/2, √2/2)

3/4π

(-√3/2, 1/2)

5/6π

(-1, 0)

π

(-√3/2, -1/2)

7/6π

(-√2/2, -√2/2)

5/4π

(-1/2, -√3/2)

4/3π

(0, -1)

3/2π

(1/2, -√3/2)

5/3π

(√2/2, -√2/2)

7/4π

(√3/2, -1/2)

11/6π

sinθ

y/r

cosθ

x/r

tanθ

y/x

domain of cosθ and sinθ

all real numbers

θ

angle

the output of a trig function

ratio of sides (NOT angles)

range of sinθ and cosθ

[-1, 1]

these angles will tell us what the trig value is in Quadrant 1, but we may need to adjust the sign based on where the actual angle lies

reference angle

π/3

60°

π/4

45°

π/6

30°

π/2

90°

2π/3

120°

3π/4

135°

5π/6

150°

π

180°

7π/6

210°

5π/4

225°

4π/3

240°

3π/2

270°

5π/3

300°

7π/4

315°

11π/6

330°