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    Arctan of 5/2

    Arcsin, Arccos, Arctan, Arccot
    Function
    x

    What is arctan(5/2)?

    Answer

    arctan(5/2) ≈
    68.1986° ≈ 1.1903 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.

    5/2 = 2.5.

    arctan(5/2) is the angle α in (−90°, 90°) with tan α = 5/2.

    tan 68.1986° ≈ 2.5000

    xyOP

    α = arctan(5/2) ≈ 68.1986°

    P ≈ (0.3714, 0.9285)

    T(1, 5/2) is where line OP meets the line x = 1, beyond the drawing (the arrow points to it); highlighted: tan α = 5/2.

    All four inverse functions of 5/2
    FunctionDegreesRadians
    arcsin(5/2)does not exist—
    arccos(5/2)does not exist—
    arctan(5/2)≈ 68.1986°≈ 1.1903
    arccot(5/2)≈ 21.8014°≈ 0.3805

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    https://calculat.io/en/number/inverse-trigonometry/arctan--5-2Copy
    <a href="https://calculat.io/en/number/inverse-trigonometry/arctan--5-2">Arctan of 5/2 (Inverse Tangent) in Degrees and Radians</a>Copy
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    Arctan of 5/2 (Inverse Tangent) in Degrees and Radians. arctan(5/2) ≈ 68.1986° ≈ 1.1903 rad: the angle in (−90°, 90°) whose tangent is 5/2. With the check and the unit circle.
    https://calculat.io/en/number/inverse-trigonometry/arctan--5-2/generated.jpgCopy

    FAQ

    What is arctan(5/2)?

    arctan(5/2) ≈ 68.1986° ≈ 1.1903 rad

    How to convert arctan(5/2) to radians?

    Multiply the angle in degrees by π/180: 68.1986° × π/180 ≈ 1.1903 rad.

    Why does a calculator show 1.1903 for arctan(5/2)?

    The calculator is in radian mode (RAD) and gives the angle in radians: arctan(5/2) ≈ 1.1903 rad. In degrees (DEG) it is ≈ 68.1986°.