Cot 540 Degrees
Sin, Cos, Tan, Cot of an Angle
What is cot 540°?
Answer
cot 540°
is undefined
Angle in radians: 540° = 3π. 540° = 360° + 180° — a full turn plus 180°: the point is on the x-axis, (−1, 0).
sin 540° = 0, and cot = cos / sin: you can't divide by zero, so the value doesn't exist.
cot 540° = cot(540° − 360°) = cot 180°
cot 540° = cos 540° / sin 540° = (−1) / 0
P(cos 540°, sin 540°) = (−1, 0)
Line OP of 540° runs parallel to the line y = 1: they never meet, so cot 540° doesn't exist.
+1 turn: the drawing shows 180°.
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 540°?
cot 540° is undefined
Why does cot 540° not exist?
540° ends at the same point as 180°, (−1, 0): sin 540° = 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 −2.7064 for cot 540?
The calculator is in radian mode (RAD): it takes cot 540 as the cotangent of 540 radians, cot 540 rad ≈ −2.7064. Switch it to degrees (DEG): cot 540° 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 324 Degrees: Cotangent of 324° on the Unit Circle
- Cot 330 Degrees: Cotangent of 330° on the Unit Circle
- Cot 341 Degrees: Cotangent of 341° on the Unit Circle
- 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 570 Degrees: Cotangent of 570° on the Unit Circle
- Cot 690 Degrees: Cotangent of 690° on the Unit Circle
- Cot 720 Degrees: Cotangent of 720° 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
- Котангенс 540 градусов (ctg 540°) на единичной окружности
- Cotangente de 540 grados (cot 540°) en el círculo unitario
- Cotangente de 540 graus (cotg 540°) no ciclo trigonométrico