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    Arctan of 3/5

    Arcsin, Arccos, Arctan, Arccot
    Function
    x

    What is arctan(3/5)?

    Answer

    arctan(3/5) ≈
    30.9638° ≈ 0.5404 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.

    3/5 = 0.6.

    arctan(3/5) is the angle α in (−90°, 90°) with tan α = 3/5.

    tan 30.9638° ≈ 0.6000

    xyOP

    α = arctan(3/5) ≈ 30.9638°

    P ≈ (0.8575, 0.5145)

    T(1, 3/5) is where line OP meets the line x = 1; highlighted: tan α = 3/5.

    All four inverse functions of 3/5
    FunctionDegreesRadians
    arcsin(3/5)≈ 36.8699°≈ 0.6435
    arccos(3/5)≈ 53.1301°≈ 0.9273
    arctan(3/5)≈ 30.9638°≈ 0.5404
    arccot(3/5)≈ 59.0362°≈ 1.0304

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    https://calculat.io/en/number/inverse-trigonometry/arctan--3-5Copy
    <a href="https://calculat.io/en/number/inverse-trigonometry/arctan--3-5">Arctan of 3/5 (Inverse Tangent) in Degrees and Radians</a>Copy
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    Arctan of 3/5 (Inverse Tangent) in Degrees and Radians. arctan(3/5) ≈ 30.9638° ≈ 0.5404 rad: the angle in (−90°, 90°) whose tangent is 3/5. With the check and the unit circle.
    https://calculat.io/en/number/inverse-trigonometry/arctan--3-5/generated.jpgCopy

    FAQ

    What is arctan(3/5)?

    arctan(3/5) ≈ 30.9638° ≈ 0.5404 rad

    How to convert arctan(3/5) to radians?

    Multiply the angle in degrees by π/180: 30.9638° × π/180 ≈ 0.5404 rad.

    Why does a calculator show 0.5404 for arctan(3/5)?

    The calculator is in radian mode (RAD) and gives the angle in radians: arctan(3/5) ≈ 0.5404 rad. In degrees (DEG) it is ≈ 30.9638°.