Cot 720 Degrees
Sin, Cos, Tan, Cot of an Angle
What is cot 720°?
Answer
cot 720°
is undefined
Angle in radians: 720° = 4π. 720° = 2 · 360° — two full turns: the point is on the x-axis, (1, 0).
sin 720° = 0, and cot = cos / sin: you can't divide by zero, so the value doesn't exist.
cot 720° = cot(720° − 2 · 360°) = cot 0°
cot 720° = cos 720° / sin 720° = 1 / 0
P(cos 720°, sin 720°) = (1, 0)
Line OP of 720° runs parallel to the line y = 1: they never meet, so cot 720° doesn't exist.
+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 cot 720°?
cot 720° is undefined
Why does cot 720° not exist?
720° ends at the same point as 0°, (1, 0): sin 720° = 0, and cot = cos / sin would divide by zero. On the unit circle line OP runs parallel to the line y = 1 and never meets it.
Why does a calculator show 1.5421 for cot 720?
The calculator is in radian mode (RAD): it takes cot 720 as the cotangent of 720 radians, cot 720 rad ≈ 1.5421. Switch it to degrees (DEG): cot 720° is undefined. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.
See Also
- Cot 342 Degrees: Cotangent of 342° on the Unit Circle
- Cot 345 Degrees: Cotangent of 345° on the Unit Circle
- Cot 355 Degrees: Cotangent of 355° on the Unit Circle
- Cot 360 Degrees: Cotangent of 360° on the Unit Circle
- Cot 390 Degrees: Cotangent of 390° on the Unit Circle
- Cot 400 Degrees: Cotangent of 400° on the Unit Circle
- Cot 450 Degrees: Cotangent of 450° on the Unit Circle
- Cot 540 Degrees: Cotangent of 540° on the Unit Circle
- Cot 570 Degrees: Cotangent of 570° on the Unit Circle
- Cot 690 Degrees: Cotangent of 690° on the Unit Circle
- Sin 0 Degrees: Sine of 0° on the Unit Circle
- Sin 1 Degree: Sine of 1° on the Unit Circle
- Sin 2 Degrees: Sine of 2° on the Unit Circle
- Sin 3 Degrees: Sine of 3° on the Unit Circle
- Sin 4 Degrees: Sine of 4° on the Unit Circle
- Sin 5 Degrees: Sine of 5° on the Unit Circle
- Sin 6 Degrees: Sine of 6° on the Unit Circle
- Sin 7 Degrees: Sine of 7° on the Unit Circle
- Sin 8 Degrees: Sine of 8° on the Unit Circle
- Sin 9 Degrees: Sine of 9° on the Unit Circle
- Котангенс 720 градусов (ctg 720°) на единичной окружности
- Cotangente de 720 grados (cot 720°) en el círculo unitario
- Cotangente de 720 graus (cotg 720°) no ciclo trigonométrico