Sin(360°) = 0
Sine — the y-coordinate of the corresponding unit-circle point, or opposite/hypotenuse in a right triangle.
How to derive sin(360°)
360° = 0° + 360°, one full revolution. The terminal side returns to the positive x-axis at (1, 0), so sin(360°) = 0, identical to sin(0°).
Unit-circle context
The angle 360° corresponds to 2π radians and sits on an axis on the unit circle.
Other trig values at 360°
Related sin values
Frequently asked
- What is the exact value of sin(360°)?
- The exact value is 0. Its decimal approximation is 0.
- How do you derive sin(360°)?
- 360° = 0° + 360°, one full revolution. The terminal side returns to the positive x-axis at (1, 0), so sin(360°) = 0, identical to sin(0°).
- What is 360° in radians?
- 360° equals 2π radians (multiply degrees by π/180).
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