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    Arctan of 1/5

    Arcsin, Arccos, Arctan, Arccot
    Function
    x

    What is arctan(1/5)?

    Answer

    arctan(1/5) ≈
    11.3099° ≈ 0.1974 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.

    1/5 = 0.2.

    arctan(1/5) is the angle α in (−90°, 90°) with tan α = 1/5.

    tan 11.3099° ≈ 0.2000

    xyOP

    α = arctan(1/5) ≈ 11.3099°

    P ≈ (0.9806, 0.1961)

    T(1, 1/5) is where line OP meets the line x = 1; highlighted: tan α = 1/5.

    All four inverse functions of 1/5
    FunctionDegreesRadians
    arcsin(1/5)≈ 11.5370°≈ 0.2014
    arccos(1/5)≈ 78.4630°≈ 1.3694
    arctan(1/5)≈ 11.3099°≈ 0.1974
    arccot(1/5)≈ 78.6901°≈ 1.3734

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    https://calculat.io/en/number/inverse-trigonometry/arctan--1-5Copy
    <a href="https://calculat.io/en/number/inverse-trigonometry/arctan--1-5">Arctan of 1/5 (Inverse Tangent) in Degrees and Radians</a>Copy
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    Arctan of 1/5 (Inverse Tangent) in Degrees and Radians. arctan(1/5) ≈ 11.3099° ≈ 0.1974 rad: the angle in (−90°, 90°) whose tangent is 1/5. With the check and the unit circle.
    https://calculat.io/en/number/inverse-trigonometry/arctan--1-5/generated.jpgCopy

    FAQ

    What is arctan(1/5)?

    arctan(1/5) ≈ 11.3099° ≈ 0.1974 rad

    How to convert arctan(1/5) to radians?

    Multiply the angle in degrees by π/180: 11.3099° × π/180 ≈ 0.1974 rad.

    Why does a calculator show 0.1974 for arctan(1/5)?

    The calculator is in radian mode (RAD) and gives the angle in radians: arctan(1/5) ≈ 0.1974 rad. In degrees (DEG) it is ≈ 11.3099°.