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    Cot 540 Degrees

    Sin, Cos, Tan, Cot of an Angle
    Function
    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

    xyOP

    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°.

    All four functions of 540°
    FunctionExact valueDecimal
    sin 540°00
    cos 540°−1−1
    tan 540°00
    cot 540°undefined—

    Reference angle: cot 0° is undefined

    See Also

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    https://calculat.io/en/number/trigonometry/cot--540Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--540">Cot 540 Degrees: Cotangent of 540° on the Unit Circle</a>Copy
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    Cot 540 Degrees: Cotangent of 540° on the Unit Circle. cot 540° is undefined: sin 540° = 0, and cot = cos / sin — division by zero. Why, on the unit circle.
    https://calculat.io/en/number/trigonometry/cot--540/generated.jpgCopy

    Cotangent of nearby angles

    Anglecot
    390°√3
    400°≈ 1.1918
    450°0
    540°undefined
    570°√3
    690°−√3
    720°undefined
    Recalculate with different values ↑

    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