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    Arctan of 1/2

    Arcsin, Arccos, Arctan, Arccot
    Function
    x

    What is arctan(1/2)?

    Answer

    arctan(1/2) ≈
    26.5651° ≈ 0.4636 rad

    Range: arctan x is an angle strictly between −90° and 90°, so the answer is unique.

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

    1/2 = 0.5.

    arctan(1/2) is the angle α in (−90°, 90°) with tan α = 1/2.

    tan 26.5651° ≈ 0.5000

    xyOP

    α = arctan(1/2) ≈ 26.5651°

    P ≈ (0.8944, 0.4472)

    T(1, 1/2) is where line OP meets the line x = 1; highlighted: tan α = 1/2.

    All four inverse functions of 1/2
    FunctionDegreesRadians
    arcsin(1/2)30°π/6
    arccos(1/2)60°π/3
    arctan(1/2)≈ 26.5651°≈ 0.4636
    arccot(1/2)≈ 63.4349°≈ 1.1071

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    https://calculat.io/en/number/inverse-trigonometry/arctan--1-2Copy
    <a href="https://calculat.io/en/number/inverse-trigonometry/arctan--1-2">Arctan of 1/2 (Inverse Tangent) in Degrees and Radians</a>Copy
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    Arctan of 1/2 (Inverse Tangent) in Degrees and Radians. arctan(1/2) ≈ 26.5651° ≈ 0.4636 rad: the angle in (−90°, 90°) whose tangent is 1/2. With the check and the unit circle.
    https://calculat.io/en/number/inverse-trigonometry/arctan--1-2/generated.jpgCopy

    FAQ

    What is arctan(1/2)?

    arctan(1/2) ≈ 26.5651° ≈ 0.4636 rad

    How to convert arctan(1/2) to radians?

    Multiply the angle in degrees by π/180: 26.5651° × π/180 ≈ 0.4636 rad.

    Why does a calculator show 0.4636 for arctan(1/2)?

    The calculator is in radian mode (RAD) and gives the angle in radians: arctan(1/2) ≈ 0.4636 rad. In degrees (DEG) it is ≈ 26.5651°.