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    Arctan of 5

    Arcsin, Arccos, Arctan, Arccot
    Function
    x

    What is arctan(5)?

    Answer

    arctan(5) ≈
    78.6901° ≈ 1.3734 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) is the angle α in (−90°, 90°) with tan α = 5.

    tan 78.6901° ≈ 5.0000

    xyOP

    α = arctan(5) ≈ 78.6901°

    P ≈ (0.1961, 0.9806)

    T(1, 5) is where line OP meets the line x = 1, beyond the drawing (the arrow points to it); highlighted: tan α = 5.

    All four inverse functions of 5
    FunctionDegreesRadians
    arcsin(5)does not exist—
    arccos(5)does not exist—
    arctan(5)≈ 78.6901°≈ 1.3734
    arccot(5)≈ 11.3099°≈ 0.1974

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    https://calculat.io/en/number/inverse-trigonometry/arctan--5Copy
    <a href="https://calculat.io/en/number/inverse-trigonometry/arctan--5">Arctan of 5 (Inverse Tangent) in Degrees and Radians</a>Copy
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    Arctan of 5 (Inverse Tangent) in Degrees and Radians. arctan(5) ≈ 78.6901° ≈ 1.3734 rad: the angle in (−90°, 90°) whose tangent is 5. With the check and the unit circle.
    https://calculat.io/en/number/inverse-trigonometry/arctan--5/generated.jpgCopy

    FAQ

    What is arctan(5)?

    arctan(5) ≈ 78.6901° ≈ 1.3734 rad

    How to convert arctan(5) to radians?

    Multiply the angle in degrees by π/180: 78.6901° × π/180 ≈ 1.3734 rad.

    Why does a calculator show 1.3734 for arctan(5)?

    The calculator is in radian mode (RAD) and gives the angle in radians: arctan(5) ≈ 1.3734 rad. In degrees (DEG) it is ≈ 78.6901°.