Unit Circle Calculator
Angle
Common Angles Reference
Angle
sin
cos
tan
0°
0
1
0
30°
0.5
0.866
0.577
45°
0.707
0.707
1
60°
0.866
0.5
1.732
90°
1
0
Undef
180°
0
-1
0
270°
-1
0
Undef
The unit circle is a circle with radius 1 centred at the origin. It provides the foundation for trigonometry — the sine and cosine of any angle equal the y and x coordinates of the corresponding point on the circle.
- 1For angle θ: point = (cos θ, sin θ)
- 2sin²θ + cos²θ = 1 (Pythagorean identity)
- 3tan θ = sin θ / cos θ
- 4Angles repeat every 360° (2π radians)
θ = 30°=sin = 0.5, cos = √3/2 ≈ 0.866, tan ≈ 0.577
θ = 45°=sin = cos = 1/√2 ≈ 0.707, tan = 1
| Angle (°) | sin | cos | tan |
|---|---|---|---|
| 0 | 0 | 1 | 0 |
| 30 | 0.5 | 0.866 | 0.577 |
| 45 | 0.707 | 0.707 | 1 |
| 60 | 0.866 | 0.5 | 1.732 |
| 90 | 1 | 0 | undef |
| 180 | 0 | −1 | 0 |
References
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