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    Arctan of 6

    Arcsin, Arccos, Arctan, Arccot
    Function
    x

    What is arctan(6)?

    Answer

    arctan(6) ≈
    80.5377° ≈ 1.4056 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(6) is the angle α in (−90°, 90°) with tan α = 6.

    tan 80.5377° ≈ 6.0000

    xyOP

    α = arctan(6) ≈ 80.5377°

    P ≈ (0.1644, 0.9864)

    T(1, 6) is where line OP meets the line x = 1, beyond the drawing (the arrow points to it); highlighted: tan α = 6.

    All four inverse functions of 6
    FunctionDegreesRadians
    arcsin(6)does not exist—
    arccos(6)does not exist—
    arctan(6)≈ 80.5377°≈ 1.4056
    arccot(6)≈ 9.4623°≈ 0.1651

    See Also

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    https://calculat.io/en/number/inverse-trigonometry/arctan--6Copy
    <a href="https://calculat.io/en/number/inverse-trigonometry/arctan--6">Arctan of 6 (Inverse Tangent) in Degrees and Radians</a>Copy
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    Arctan of 6 (Inverse Tangent) in Degrees and Radians. arctan(6) ≈ 80.5377° ≈ 1.4056 rad: the angle in (−90°, 90°) whose tangent is 6. With the check and the unit circle.
    https://calculat.io/en/number/inverse-trigonometry/arctan--6/generated.jpgCopy