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    Arccot of 1

    Arcsin, Arccos, Arctan, Arccot
    Function
    x

    What is arccot(1)?

    Answer

    arccot(1) =
    45° = π/4

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

    arccot(1) is the angle α in (0°, 180°) with cot α = 1.

    cot 45° = 1 ✓

    xyOPC

    α = arccot(1) = 45°

    P(cos 45°, sin 45°) = (√2/2, √2/2)

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

    All four inverse functions of 1
    FunctionDegreesRadians
    arcsin(1)90°π/2
    arccos(1)0°0
    arctan(1)45°π/4
    arccot(1)45°π/4

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    https://calculat.io/en/number/inverse-trigonometry/arccot--1Copy
    <a href="https://calculat.io/en/number/inverse-trigonometry/arccot--1">Arccot of 1 (Inverse Cotangent) in Degrees and Radians</a>Copy
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    Arccot of 1 (Inverse Cotangent) in Degrees and Radians. arccot(1) = 45° = π/4: the angle in (0°, 180°) whose cotangent is 1. With the check and the unit circle.
    https://calculat.io/en/number/inverse-trigonometry/arccot--1/generated.jpgCopy

    FAQ

    What is arccot(1)?

    arccot(1) = 45° = π/4

    How to find arccot(1) from a table of cotangents?

    Look in the table for the angle α in (0°, 180°) with cot α = 1: it is 45°, or π/4 in radians.

    Why does a calculator show 0.7854 for arccot(1)?

    The calculator is in radian mode (RAD) and gives the angle in radians: arccot(1) = π/4 ≈ 0.7854 rad. In degrees (DEG) it is 45°.