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    Arccot of −2

    Arcsin, Arccos, Arctan, Arccot
    Function
    x

    What is arccot(−2)?

    Answer

    arccot(−2) ≈
    153.4349° ≈ 2.6779 rad

    Range: arccot x is an angle strictly between 0° and 180°, so the answer is unique.

    ≈ — the value is not a table one; rounded to 4 decimal places.

    arccot(−2) is the angle α in (0°, 180°) with cot α = −2.

    arccot(−2) = 180° − arccot(2) ≈ 180° − 26.5651° = 153.4349°

    cot 153.4349° ≈ −2.0000

    xyOPC

    α = arccot(−2) ≈ 153.4349°

    P ≈ (−0.8944, 0.4472)

    C(−2, 1) is where line OP meets the line y = 1; highlighted: cot α = −2.

    All four inverse functions of −2
    FunctionDegreesRadians
    arcsin(−2)does not exist—
    arccos(−2)does not exist—
    arctan(−2)≈ −63.4349°≈ −1.1071
    arccot(−2)≈ 153.4349°≈ 2.6779

    See Also

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    https://calculat.io/en/number/inverse-trigonometry/arccot---2Copy
    <a href="https://calculat.io/en/number/inverse-trigonometry/arccot---2">Arccot of −2 (Inverse Cotangent) in Degrees and Radians</a>Copy
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    Arccot of −2 (Inverse Cotangent) in Degrees and Radians. arccot(−2) ≈ 153.4349° ≈ 2.6779 rad: the angle in (0°, 180°) whose cotangent is −2. With the check and the unit circle.
    https://calculat.io/en/number/inverse-trigonometry/arccot---2/generated.jpgCopy

    Arccotangent of nearby values

    xarccot x
    −2≈ 153.4349°
    −√3150° = 5π/6
    −1135° = 3π/4
    −√3/3120° = 2π/3
    090° = π/2
    0.3≈ 73.3008°
    1/2≈ 63.4349°
    Recalculate with different values ↑

    FAQ

    What is arccot(−2)?

    arccot(−2) ≈ 153.4349° ≈ 2.6779 rad

    Why is arccot(−2) ≈ 153.4349° and not −26.5651°?

    The range of arccot is strictly between 0° and 180°: there are no negative angles in it. A negative x gives an angle greater than 90°: arccot(−2) = 180° − arccot(2) ≈ 180° − 26.5651° = 153.4349°. The angle −26.5651° differs from the answer by exactly 180° and has the same cotangent, but it lies outside the range: calculators that use the other convention, (−90°, 90°], give it.

    Why do some calculators give arccot(−2) ≈ −26.5651°?

    They use a different range for arccot, (−90°, 90°], and compute arccot x = arctan(1/x): arctan(−1/2) ≈ −26.5651°. This page follows the school convention, the range (0°, 180°) with arccot x = 90° − arctan x, so arccot(−2) ≈ 153.4349°. The two answers differ by exactly 180° and have the same cotangent.

    See Also