Math Unit Circle

Math Unit Circle Review

0°

0 radians, corresponds to the coordinates (1, 0).

30°

π/6, corresponds to the coordinates (√3/2, 1/2).

45°

π/4, corresponds to the coordinates (√2/2, √2/2).

60°

π/3, corresponds to the coordinates (1/2, √3/2).

90°

π/2, corresponds to the coordinates (0, 1).

120°

2π/3, corresponds to the coordinates (-1/2, √3/2).

135°

3π/4, corresponds to the coordinates (-√2/2, √2/2).

150°

5π/6, corresponds to the coordinates (-√3/2, 1/2).

180°

π, corresponds to the coordinates (-1, 0).

210°

7π/6, corresponds to the coordinates (-√3/2, -1/2).

225°

5π/4, corresponds to the coordinates (-√2/2, -√2/2).

240°

4π/3, corresponds to the coordinates (-1/2, -√3/2).

270°

3π/2, corresponds to the coordinates (0, -1).

300°

5π/3, corresponds to the coordinates (1/2, -√3/2).

315°

7π/4, corresponds to the coordinates (√2/2, -√2/2).

330°

11π/6, corresponds to the coordinates (√3/2, -1/2).

360°

2π, corresponds to the coordinates (1, 0).

Radians to Degrees

180/ π Radians

Degrees to Radians

π Radians/ 180

ASTC

Starts in Top Right with A, goes left, to S, down to T, and right to C. Determined by Quadrant

A

All trig functions and reciprocals are positive, Quadrant 1

S

Only SIN and CSC are positive, Quadrant 2

T

Only TAN and COT are positive, Quadrant 3

C

Only COS and SEC are positive, Quadrant 4