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    Arctan of 5/6

    Arcsin, Arccos, Arctan, Arccot
    Function
    x

    What is arctan(5/6)?

    Answer

    arctan(5/6) ≈
    39.8056° ≈ 0.6947 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.

    arctan(5/6) is the angle α in (−90°, 90°) with tan α = 5/6.

    tan 39.8056° ≈ 0.8333

    xyOPT

    α = arctan(5/6) ≈ 39.8056°

    P ≈ (0.7682, 0.6402)

    T(1, 5/6) is where line OP meets the line x = 1; highlighted: tan α = 5/6.

    All four inverse functions of 5/6
    FunctionDegreesRadians
    arcsin(5/6)≈ 56.4427°≈ 0.9851
    arccos(5/6)≈ 33.5573°≈ 0.5857
    arctan(5/6)≈ 39.8056°≈ 0.6947
    arccot(5/6)≈ 50.1944°≈ 0.8761

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    https://calculat.io/en/number/inverse-trigonometry/arctan--5-6Copy
    <a href="https://calculat.io/en/number/inverse-trigonometry/arctan--5-6">Arctan of 5/6 (Inverse Tangent) in Degrees and Radians</a>Copy
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    Arctan of 5/6 (Inverse Tangent) in Degrees and Radians. arctan(5/6) ≈ 39.8056° ≈ 0.6947 rad: the angle in (−90°, 90°) whose tangent is 5/6. With the check and the unit circle.
    https://calculat.io/en/number/inverse-trigonometry/arctan--5-6/generated.jpgCopy

    FAQ

    What is arctan(5/6)?

    arctan(5/6) ≈ 39.8056° ≈ 0.6947 rad

    How to convert arctan(5/6) to radians?

    Multiply the angle in degrees by π/180: 39.8056° × π/180 ≈ 0.6947 rad.

    Why does a calculator show 0.6947 for arctan(5/6)?

    The calculator is in radian mode (RAD) and gives the angle in radians: arctan(5/6) ≈ 0.6947 rad. In degrees (DEG) it is ≈ 39.8056°.