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30º
π/6 (√3/2, 1/2)
210º
7π/6 (-√3/2, -1/2)
225º
5π/4 (-√2/2, -√2/2)
240º
4π/3 (-1/2, -√3/2)
270º
3π/2 (0, -1)
300º
5π/3 (1/2, -√3/2)
315º
7π/4 (√2/2, -√2/2)
330º
11π/6 (√3/2, -1/2)
360º
2π (1,0)
sin(0°)
0
sin(30°)
1/2
sin(45°)
√2/2
sin(60°)
√3/2
sin(90°)
1
sin(120°)
√3/2
sin(135°)
√2/2
sin(150°)
1/2
sin(180°)
0
sin(210°)
−1/2
sin(225°)
−√2/2
sin(240°)
−√3/2
sin(270°)
−1
sin(300°)
−√3/2
sin(315°)
−√2/2
Unit Circle
The circle of radius one centered at the origin in the xy-plane.
0º
0 (1,0)
45º
π/4 (√2/2, √2/2)
60º
π/3 (1/2, √3/2)
90º
π/2 (0,1)
120º
2π/3 (-1/2, √3/2)
135º
3π/4 (-√2/2, √2/2)
150º
4π/5 (-√3/2, 1/2)
180º
π (-1,0)
sin(330°)
−1/2
sin(360°)
0
cos(0°)
1
cos(30°)
√3/2
cos(45°)
√2/2
cos(60°)
1/2
cos(90°)
0
cos(120°)
−1/2
cos(135°)
−√2/2
cos(150°)
−√3/2
cos(180°)
−1
cos(210°)
−√3/2
cos(225°)
−√2/2
cos(240°)
−1/2
cos(270°)
0
cos(300°)
1/2
cos(315°)
√2/2
cos(330°)
√3/2
cos(360°)
1
cos(π/6)
√3/2
cos(π/4)
√2/2
cos(π/3)
1/2
cos(π/2)
0
cos(2π/3)
−1/2
cos(3π/4)
−√2/2
cos(5π/6)
−√3/2
cos(π)
−1
cos(7π/6)
−√3/2
cos(5π/4)
−√2/2
cos(4π/3)
−1/2
cos(3π/2)
0
cos(5π/3)
1/2
cos(7π/4)
√2/2
cos(11π/6)
√3/2
cos(2π)
1
sin(π/6)
1/2
sin(π/4)
√2/2
sin(π/3)
√3/2
sin(π/2)
1
sin(2π/3)
√3/2
sin(3π/4)
√2/2
sin(5π/6)
1/2
sin(π)
0
sin(7π/6)
−1/2
sin(5π/4)
−√2/2
sin(4π/3)
−√3/2
sin(3π/2)
−1
sin(5π/3)
−√3/2
sin(7π/4)
−√2/2
sin(11π/6)
−1/2
sin(2π)
0