Calculate cosine values with detailed step-by-step solutions for angles in degrees or radians, including special angle recognition.
• Common angles: 0°, 30°, 45°, 60°, 90°
• Cosine is maximum (1) at 0° and 360°
On the unit circle, cosine represents the x-coordinate of the point where the angle intersects the circle.
| Degrees | Radians | Cosine (Exact) | Cosine (Decimal) |
|---|---|---|---|
| 0° | 0 | 1 | 1 |
| 30° | π/6 | √3/2 | 0.8660 |
| 45° | π/4 | √2/2 | 0.7071 |
| 60° | π/3 | 1/2 | 0.5 |
| 90° | π/2 | 0 | 0 |
| 180° | π | -1 | -1 |
| 270° | 3π/2 | 0 | 0 |
| 360° | 2π | 1 | 1 |