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    Arctan of 4/5

    Arcsin, Arccos, Arctan, Arccot
    Function
    x

    What is arctan(4/5)?

    Answer

    arctan(4/5) ≈
    38.6598° ≈ 0.6747 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.

    4/5 = 0.8.

    arctan(4/5) is the angle α in (−90°, 90°) with tan α = 4/5.

    tan 38.6598° ≈ 0.8000

    xyOPT

    α = arctan(4/5) ≈ 38.6598°

    P ≈ (0.7809, 0.6247)

    T(1, 4/5) is where line OP meets the line x = 1; highlighted: tan α = 4/5.

    All four inverse functions of 4/5
    FunctionDegreesRadians
    arcsin(4/5)≈ 53.1301°≈ 0.9273
    arccos(4/5)≈ 36.8699°≈ 0.6435
    arctan(4/5)≈ 38.6598°≈ 0.6747
    arccot(4/5)≈ 51.3402°≈ 0.8961

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    https://calculat.io/en/number/inverse-trigonometry/arctan--4-5Copy
    <a href="https://calculat.io/en/number/inverse-trigonometry/arctan--4-5">Arctan of 4/5 (Inverse Tangent) in Degrees and Radians</a>Copy
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    Arctan of 4/5 (Inverse Tangent) in Degrees and Radians. arctan(4/5) ≈ 38.6598° ≈ 0.6747 rad: the angle in (−90°, 90°) whose tangent is 4/5. With the check and the unit circle.
    https://calculat.io/en/number/inverse-trigonometry/arctan--4-5/generated.jpgCopy

    FAQ

    What is arctan(4/5)?

    arctan(4/5) ≈ 38.6598° ≈ 0.6747 rad

    How to convert arctan(4/5) to radians?

    Multiply the angle in degrees by π/180: 38.6598° × π/180 ≈ 0.6747 rad.

    Why does a calculator show 0.6747 for arctan(4/5)?

    The calculator is in radian mode (RAD) and gives the angle in radians: arctan(4/5) ≈ 0.6747 rad. In degrees (DEG) it is ≈ 38.6598°.