30 90 180 360 45 135 225 315 60 120 150 210 330 240 270.

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30 90 180 360 45 135 225 315 60 120 150 210 330 240 270

π/6 π/2 π 3π/2 2π π/4 3π/4 5π/4 7π/4 π/3 2π/3 5π/6 7π/6 4π/3 5π/3 11π/6

60 1 1 30 45 1 2 2 √2 √3 1 1 √3/2 √2/2 1/2 30 60 45 √3 √3/2 1/2 1 √2/2 1 The values written in black are normal side length of special right triangles. However, in the unit circle the radius is 1 so each of our hypotenuses should be 1 unit long, to create this triangle we have to divide each side by 2 (or square root 2). The units of length for the unit circle are written in green.

(cos, sin) (√3/2, 1/2) (1/2, √3/2) (√2/2, √2/2) (1,0) (0,1) (-1,0) (0,-1) (-1/2, √3/2) (-√2/2, √2/2) (-√3/2, 1/2) (-√3/2, -1/2) (-√2/2, -√2/2) (-1/2, -√3/2) (√3/2, -1/2) (√2/2, -√2/2) (1/2, -√3/2)