Cos 720 Degrees
Sin, Cos, Tan, Cot of an Angle
What is cos 720°?
Answer
cos 720° =
1
Angle in radians: 720° = 4π. 720° = 2 · 360° — two full turns: the point is on the x-axis, (1, 0).
cos 720° = cos(720° − 2 · 360°) = cos 0°
P(cos 720°, sin 720°) = (1, 0)
P(cos 720°, sin 720°) = (1, 0)
Highlighted: the projection on the x-axis — cosine, x = 1.
+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 cos 720°?
cos 720° = 1
Why is cos 720° equal to 1?
720° ends at the same point as 0°, (1, 0), and cosine is its the x-coordinate, so cos 720° = 1.
Why does a calculator show −0.8390 for cos 720?
The calculator is in radian mode (RAD): it takes cos 720 as the cosine of 720 radians, cos 720 rad ≈ −0.8390. Switch it to degrees (DEG): cos 720° = 1. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.
See Also
- Cos 342 Degrees: Cosine of 342° on the Unit Circle
- Cos 345 Degrees: Cosine of 345° on the Unit Circle
- Cos 355 Degrees: Cosine of 355° on the Unit Circle
- Cos 360 Degrees: Cosine of 360° on the Unit Circle
- Cos 390 Degrees: Cosine of 390° on the Unit Circle
- Cos 400 Degrees: Cosine of 400° on the Unit Circle
- Cos 450 Degrees: Cosine of 450° on the Unit Circle
- Cos 540 Degrees: Cosine of 540° on the Unit Circle
- Cos 570 Degrees: Cosine of 570° on the Unit Circle
- Cos 690 Degrees: Cosine of 690° on the Unit Circle
- Cot 0 Degrees: Cotangent of 0° on the Unit Circle
- Cot 1 Degree: Cotangent of 1° on the Unit Circle
- Cot 2 Degrees: Cotangent of 2° on the Unit Circle
- Cot 3 Degrees: Cotangent of 3° on the Unit Circle
- Cot 4 Degrees: Cotangent of 4° on the Unit Circle
- Cot 5 Degrees: Cotangent of 5° on the Unit Circle
- Cot 6 Degrees: Cotangent of 6° on the Unit Circle
- Cot 7 Degrees: Cotangent of 7° on the Unit Circle
- Cot 8 Degrees: Cotangent of 8° on the Unit Circle
- Cot 9 Degrees: Cotangent of 9° on the Unit Circle
- Косинус 720 градусов (cos 720°) на единичной окружности
- Coseno de 720 grados (cos 720°) en el círculo unitario
- Cosseno de 720 graus (cos 720°) no ciclo trigonométrico