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AP PrecalculusUnit 3: Trigonometric and Polar Functions

Unit Circle

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A set with all of the unit circle values.

Pre-Calculus

AP Precalculus

Unit 3: Trigonometric and Polar Functions

84 Terms

1
Unit Circle
The circle of radius one centered at the origin in the xy-plane.
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2
0º
0 (1,0)
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3
30º
π/6 (√3/2, 1/2)
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4
45º
π/4 (√2/2, √2/2)
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5
60º
π/3 (1/2, √3/2)
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6
90º
π/2 (0,1)
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7
120º
2π/3 (-1/2, √3/2)
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8
135º
3π/4 (-√2/2, √2/2)
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9
150º
5π/6 (-√3/2, 1/2)
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10
180º
π (-1,0)
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11
210º
7π/6 (-√3/2, -1/2)
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12
225º
5π/4 (-√2/2, -√2/2)
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13
240º
4π/3 (-1/2, -√3/2)
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14
270º
3π/2 (0, -1)
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15
300º
5π/3 (1/2, -√3/2)
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16
315º
7π/4 (√2/2, -√2/2)
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17
330º
11π/6 (√3/2, -1/2)
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18
360º
2π (1,0)
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19
sin(0°)
0
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20
sin(30°)
1/2
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21
sin(45°)
√2/2
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22
sin(60°)
√3/2
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23
sin(90°)
1
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24
sin(120°)
√3/2
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25
sin(135°)
√2/2
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26
sin(150°)
1/2
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27
sin(180°)
0
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28
sin(210°)
−1/2
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29
sin(225°)
−√2/2
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30
sin(240°)
−√3/2
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31
sin(270°)
−1
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32
sin(300°)
−√3/2
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33
sin(315°)
−√2/2
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34
sin(330°)
−1/2
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35
sin(360°)
0
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36
cos(0°)
1
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37
cos(30°)
√3/2
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38
cos(45°)
√2/2
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39
cos(60°)
1/2
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40
cos(90°)
0
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41
cos(120°)
−1/2
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42
cos(135°)
−√2/2
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43
cos(150°)
−√3/2
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44
cos(180°)
−1
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45
cos(210°)
−√3/2
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46
cos(225°)
−√2/2
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47
cos(240°)
−1/2
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48
cos(270°)
0
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49
cos(300°)
1/2
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50
cos(315°)
√2/2
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51
cos(330°)
√3/2
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52
cos(360°)
1
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53
cos(π/6)
√3/2
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54
cos(π/4)
√2/2
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55
cos(π/3)
1/2
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56
cos(π/2)
0
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57
cos(2π/3)
−1/2
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58
cos(3π/4)
−√2/2
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59
cos(5π/6)
−√3/2
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60
cos(π)
−1
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61
cos(7π/6)
−√3/2
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62
cos(5π/4)
−√2/2
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63
cos(4π/3)
−1/2
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64
cos(3π/2)
0
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65
cos(5π/3)
1/2
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66
cos(7π/4)
√2/2
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67
cos(11π/6)
√3/2
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68
cos(2π)
1
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69
sin(π/6)
1/2
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70
sin(π/4)
√2/2
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71
sin(π/3)
√3/2
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72
sin(π/2)
1
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73
sin(2π/3)
√3/2
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74
sin(3π/4)
√2/2
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75
sin(5π/6)
1/2
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76
sin(π)
0
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77
sin(7π/6)
−1/2
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78
sin(5π/4)
−√2/2
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79
sin(4π/3)
−√3/2
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80
sin(3π/2)
−1
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81
sin(5π/3)
−√3/2
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82
sin(7π/4)
−√2/2
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83
sin(11π/6)
−1/2
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84
sin(2π)
0
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