Sin 720 Degrees
Sin, Cos, Tan, Cot of an Angle
What is sin 720°?
Answer
sin 720° =
0
Angle in radians: 720° = 4π. 720° = 2 · 360° — two full turns: the point is on the x-axis, (1, 0).
sin 720° = sin(720° − 2 · 360°) = sin 0°
P(cos 720°, sin 720°) = (1, 0)
P(cos 720°, sin 720°) = (1, 0)
The point lies on the x-axis, so its projection on the y-axis is 0: sin 720° = 0.
+2 turns: the drawing shows 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
FAQ
What is sin 720°?
sin 720° = 0
Why is sin 720° equal to 0?
720° ends at the same point as 0°, (1, 0), and sine is its the y-coordinate, so sin 720° = 0.
Why does a calculator show −0.5441 for sin 720?
The calculator is in radian mode (RAD): it takes sin 720 as the sine of 720 radians, sin 720 rad ≈ −0.5441. Switch it to degrees (DEG): sin 720° = 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 342 Degrees: Sine of 342° on the Unit Circle
- Sin 345 Degrees: Sine of 345° on the Unit Circle
- Sin 355 Degrees: Sine of 355° on the Unit Circle
- Sin 360 Degrees: Sine of 360° on the Unit Circle
- Sin 390 Degrees: Sine of 390° on the Unit Circle
- Sin 400 Degrees: Sine of 400° on the Unit Circle
- Sin 450 Degrees: Sine of 450° on the Unit Circle
- Sin 540 Degrees: Sine of 540° on the Unit Circle
- Sin 570 Degrees: Sine of 570° on the Unit Circle
- Sin 690 Degrees: Sine of 690° on the Unit Circle
- Tan 0 Degrees: Tangent of 0° on the Unit Circle
- Tan 1 Degree: Tangent of 1° on the Unit Circle
- Tan 2 Degrees: Tangent of 2° on the Unit Circle
- Tan 3 Degrees: Tangent of 3° on the Unit Circle
- Tan 4 Degrees: Tangent of 4° on the Unit Circle
- Tan 5 Degrees: Tangent of 5° on the Unit Circle
- Tan 6 Degrees: Tangent of 6° on the Unit Circle
- Tan 7 Degrees: Tangent of 7° on the Unit Circle
- Tan 8 Degrees: Tangent of 8° on the Unit Circle
- Tan 9 Degrees: Tangent of 9° on the Unit Circle
- Синус 720 градусов (sin 720°) на единичной окружности
- Seno de 720 grados (sen 720°) en el círculo unitario
- Seno de 720 graus (sen 720°) no ciclo trigonométrico