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    Arctan of −4/3

    Arcsin, Arccos, Arctan, Arccot
    Function
    x

    What is arctan(−4/3)?

    Answer

    arctan(−4/3) ≈
    −53.1301° ≈ −0.9273 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(−4/3) is the angle α in (−90°, 90°) with tan α = −4/3.

    arctan(−4/3) = −arctan(4/3) ≈ −53.1301°

    tan(−53.1301°) ≈ −1.3333

    xyOPT

    α = arctan(−4/3) ≈ −53.1301°

    P = (0.6, −0.8)

    T(1, −4/3) is where line OP meets the line x = 1; highlighted: tan α = −4/3.

    All four inverse functions of −4/3
    FunctionDegreesRadians
    arcsin(−4/3)does not exist—
    arccos(−4/3)does not exist—
    arctan(−4/3)≈ −53.1301°≈ −0.9273
    arccot(−4/3)≈ 143.1301°≈ 2.4981

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    https://calculat.io/en/number/inverse-trigonometry/arctan---4-3Copy
    <a href="https://calculat.io/en/number/inverse-trigonometry/arctan---4-3">Arctan of −4/3 (Inverse Tangent) in Degrees and Radians</a>Copy
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    Arctan of −4/3 (Inverse Tangent) in Degrees and Radians. arctan(−4/3) ≈ −53.1301° ≈ −0.9273 rad: the angle in (−90°, 90°) whose tangent is −4/3. With the check and the unit circle.
    https://calculat.io/en/number/inverse-trigonometry/arctan---4-3/generated.jpgCopy

    FAQ

    What is arctan(−4/3)?

    arctan(−4/3) ≈ −53.1301° ≈ −0.9273 rad

    Why is arctan(−4/3) ≈ −53.1301°?

    arctan is an odd function: arctan(−x) = −arctan x. So arctan(−4/3) = −arctan(4/3) ≈ −53.1301°, and this angle lies in the range (−90°, 90°).

    Why does a calculator show −0.9273 for arctan(−4/3)?

    The calculator is in radian mode (RAD) and gives the angle in radians: arctan(−4/3) ≈ −0.9273 rad. In degrees (DEG) it is ≈ −53.1301°.