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