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    Arctan of 3

    Arcsin, Arccos, Arctan, Arccot
    Function
    x

    What is arctan(3)?

    Answer

    arctan(3) ≈
    71.5651° ≈ 1.2490 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(3) is the angle α in (−90°, 90°) with tan α = 3.

    tan 71.5651° ≈ 3.0000

    xyOP

    α = arctan(3) ≈ 71.5651°

    P ≈ (0.3162, 0.9487)

    T(1, 3) is where line OP meets the line x = 1, beyond the drawing (the arrow points to it); highlighted: tan α = 3.

    All four inverse functions of 3
    FunctionDegreesRadians
    arcsin(3)does not exist—
    arccos(3)does not exist—
    arctan(3)≈ 71.5651°≈ 1.2490
    arccot(3)≈ 18.4349°≈ 0.3218

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    https://calculat.io/en/number/inverse-trigonometry/arctan--3Copy
    <a href="https://calculat.io/en/number/inverse-trigonometry/arctan--3">Arctan of 3 (Inverse Tangent) in Degrees and Radians</a>Copy
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    Arctan of 3 (Inverse Tangent) in Degrees and Radians. arctan(3) ≈ 71.5651° ≈ 1.2490 rad: the angle in (−90°, 90°) whose tangent is 3. With the check and the unit circle.
    https://calculat.io/en/number/inverse-trigonometry/arctan--3/generated.jpgCopy

    FAQ

    What is arctan(3)?

    arctan(3) ≈ 71.5651° ≈ 1.2490 rad

    How to convert arctan(3) to radians?

    Multiply the angle in degrees by π/180: 71.5651° × π/180 ≈ 1.2490 rad.

    Why does a calculator show 1.2490 for arctan(3)?

    The calculator is in radian mode (RAD) and gives the angle in radians: arctan(3) ≈ 1.2490 rad. In degrees (DEG) it is ≈ 71.5651°.