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    Arctan of 1/4

    Arcsin, Arccos, Arctan, Arccot
    Function
    x

    What is arctan(1/4)?

    Answer

    arctan(1/4) ≈
    14.0362° ≈ 0.2450 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.

    1/4 = 0.25.

    arctan(1/4) is the angle α in (−90°, 90°) with tan α = 1/4.

    tan 14.0362° ≈ 0.2500

    xyOP

    α = arctan(1/4) ≈ 14.0362°

    P ≈ (0.9701, 0.2425)

    T(1, 1/4) is where line OP meets the line x = 1; highlighted: tan α = 1/4.

    All four inverse functions of 1/4
    FunctionDegreesRadians
    arcsin(1/4)≈ 14.4775°≈ 0.2527
    arccos(1/4)≈ 75.5225°≈ 1.3181
    arctan(1/4)≈ 14.0362°≈ 0.2450
    arccot(1/4)≈ 75.9638°≈ 1.3258

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    https://calculat.io/en/number/inverse-trigonometry/arctan--1-4Copy
    <a href="https://calculat.io/en/number/inverse-trigonometry/arctan--1-4">Arctan of 1/4 (Inverse Tangent) in Degrees and Radians</a>Copy
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    Arctan of 1/4 (Inverse Tangent) in Degrees and Radians. arctan(1/4) ≈ 14.0362° ≈ 0.2450 rad: the angle in (−90°, 90°) whose tangent is 1/4. With the check and the unit circle.
    https://calculat.io/en/number/inverse-trigonometry/arctan--1-4/generated.jpgCopy

    FAQ

    What is arctan(1/4)?

    arctan(1/4) ≈ 14.0362° ≈ 0.2450 rad

    How to convert arctan(1/4) to radians?

    Multiply the angle in degrees by π/180: 14.0362° × π/180 ≈ 0.2450 rad.

    Why does a calculator show 0.2450 for arctan(1/4)?

    The calculator is in radian mode (RAD) and gives the angle in radians: arctan(1/4) ≈ 0.2450 rad. In degrees (DEG) it is ≈ 14.0362°.