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