Sin 180 Degrees
Sin, Cos, Tan, Cot of an Angle
What is sin 180°?
Answer
sin 180° =
0
Angle in radians: 180° = π. The point of the angle is on the x-axis: (−1, 0).
P(cos 180°, sin 180°) = (−1, 0)
P(cos 180°, sin 180°) = (−1, 0)
The point lies on the x-axis, so its projection on the y-axis is 0: sin 180° = 0.
See Also
- Arcsin, Arccos, Arctan, Arccot - The angle from the value of its sine, cosine, tangent or cotangent: exact in degrees and π, with the check and the unit circle
- Square Root Calculator - Calculate the square root of any number
- Simplify Square Root Calculator - Write any square root in simplest radical form, step by step
- Geometry Formulas: Area, Volume, Perimeter - The formula for every standard shape, where it comes from, and worked examples
Sine of nearby angles
FAQ
What is sin 180°?
sin 180° = 0
Why is sin 180° equal to 0?
The point of 180° on the unit circle is (−1, 0), and sine is its the y-coordinate, so sin 180° = 0.
Why does a calculator show −0.8012 for sin 180?
The calculator is in radian mode (RAD): it takes sin 180 as the sine of 180 radians, sin 180 rad ≈ −0.8012. Switch it to degrees (DEG): sin 180° = 0. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.
See Also
- Sin 145 Degrees: Sine of 145° on the Unit Circle
- Sin 150 Degrees: Sine of 150° on the Unit Circle
- Sin 159 Degrees: Sine of 159° on the Unit Circle
- Sin 160 Degrees: Sine of 160° on the Unit Circle
- Sin 162 Degrees: Sine of 162° on the Unit Circle
- Sin 164 Degrees: Sine of 164° on the Unit Circle
- Sin 165 Degrees: Sine of 165° on the Unit Circle
- Sin 167 Degrees: Sine of 167° on the Unit Circle
- Sin 175 Degrees: Sine of 175° on the Unit Circle
- Sin 179 Degrees: Sine of 179° on the Unit Circle
- Sin 195 Degrees: Sine of 195° on the Unit Circle
- Sin 198 Degrees: Sine of 198° on the Unit Circle
- Sin 200 Degrees: Sine of 200° on the Unit Circle
- Sin 210 Degrees: Sine of 210° on the Unit Circle
- Sin 211 Degrees: Sine of 211° on the Unit Circle
- Sin 215 Degrees: Sine of 215° on the Unit Circle
- Sin 216 Degrees: Sine of 216° on the Unit Circle
- Sin 225 Degrees: Sine of 225° on the Unit Circle
- Sin 227 Degrees: Sine of 227° on the Unit Circle
- Sin 234 Degrees: Sine of 234° on the Unit Circle
- Синус 180 градусов (sin 180°) на единичной окружности
- Seno de 180 grados (sen 180°) en el círculo unitario
- Seno de 180 graus (sen 180°) no ciclo trigonométrico