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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.

    arctan(−4/5) = −arctan(4/5) ≈ −38.6598°

    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)≈ 143.1301°≈ 2.4981
    arctan(−4/5)≈ −38.6598°≈ −0.6747
    arccot(−4/5)≈ 128.6598°≈ 2.2455

    See Also

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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

    Why is arctan(−4/5) ≈ −38.6598°?

    arctan is an odd function: arctan(−x) = −arctan x. So arctan(−4/5) = −arctan(4/5) ≈ −38.6598°, and this angle lies in the range (−90°, 90°).

    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°.