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    Cot 180 Degrees

    Sin, Cos, Tan, Cot of an Angle
    Function
    Angle (°)

    What is cot 180°?

    Answer

    cot 180°
    is undefined

    Angle in radians: 180° = π. The point of the angle is on the x-axis: (−1, 0).

    sin 180° = 0, and cot = cos / sin: you can't divide by zero, so the value doesn't exist.

    cot 180° = cos 180° / sin 180° = (−1) / 0

    xyOP

    P(cos 180°, sin 180°) = (−1, 0)

    Line OP of 180° runs parallel to the line y = 1: they never meet, so cot 180° doesn't exist.

    All four functions of 180°
    FunctionExact valueDecimal
    sin 180°00
    cos 180°−1−1
    tan 180°00
    cot 180°undefined—

    Reference angle: cot 0° is undefined

    See Also

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    https://calculat.io/en/number/trigonometry/cot--180Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--180">Cot 180 Degrees: Cotangent of 180° on the Unit Circle</a>Copy
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    Cot 180 Degrees: Cotangent of 180° on the Unit Circle. cot 180° is undefined: sin 180° = 0, and cot = cos / sin — division by zero. Why, on the unit circle.
    https://calculat.io/en/number/trigonometry/cot--180/generated.jpgCopy

    Cotangent of nearby angles

    Anglecot
    167°≈ −4.3315
    175°≈ −11.4301
    179°≈ −57.2900
    180°undefined
    195°2 + √3
    198°√(5 + 2√5)
    200°≈ 2.7475
    Recalculate with different values ↑

    FAQ

    What is cot 180°?

    cot 180° is undefined

    Why does cot 180° not exist?

    The point of 180° on the unit circle is (−1, 0): sin 180° = 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 0.7470 for cot 180?

    The calculator is in radian mode (RAD): it takes cot 180 as the cotangent of 180 radians, cot 180 rad ≈ 0.7470. Switch it to degrees (DEG): cot 180° 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