Sin Calculator
Angle (degrees)
The sine function (sin) is a fundamental trigonometric function defined as the ratio of the opposite side to the hypotenuse in a right triangle. It also describes the y-coordinate of a point on the unit circle at a given angle.
- 1In a right triangle: sin(θ) = opposite / hypotenuse
- 2On the unit circle: sin(θ) = y-coordinate at angle θ
- 3sin(θ°) = sin(θ × π/180) in radians
- 4Key values: sin(0°)=0, sin(30°)=0.5, sin(45°)=√2/2≈0.707, sin(60°)=√3/2≈0.866, sin(90°)=1
sin(30°)=0.5sin(π/6) in radians
sin(45°)=0.7071√2/2 — the diagonal ratio
sin(90°)=1Maximum value of sine
| Angle (°) | Angle (rad) | sin(θ) | Exact form |
|---|---|---|---|
| 0° | 0 | 0 | 0 |
| 30° | π/6 | 0.5000 | 1/2 |
| 45° | π/4 | 0.7071 | √2/2 |
| 60° | π/3 | 0.8660 | √3/2 |
| 90° | π/2 | 1.0000 | 1 |
| 180° | π | 0 | 0 |
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