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    Arctan of −2

    Arcsin, Arccos, Arctan, Arccot
    Function
    x

    What is arctan(−2)?

    Answer

    arctan(−2) ≈
    −63.4349° ≈ −1.1071 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(−2) is the angle α in (−90°, 90°) with tan α = −2.

    arctan(−2) = −arctan(2) ≈ −63.4349°

    tan(−63.4349°) ≈ −2.0000

    xyOPT

    α = arctan(−2) ≈ −63.4349°

    P ≈ (0.4472, −0.8944)

    T(1, −2) is where line OP meets the line x = 1; highlighted: tan α = −2.

    All four inverse functions of −2
    FunctionDegreesRadians
    arcsin(−2)does not exist—
    arccos(−2)does not exist—
    arctan(−2)≈ −63.4349°≈ −1.1071
    arccot(−2)≈ 153.4349°≈ 2.6779

    See Also

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    https://calculat.io/en/number/inverse-trigonometry/arctan---2Copy
    <a href="https://calculat.io/en/number/inverse-trigonometry/arctan---2">Arctan of −2 (Inverse Tangent) in Degrees and Radians</a>Copy
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    Arctan of −2 (Inverse Tangent) in Degrees and Radians. arctan(−2) ≈ −63.4349° ≈ −1.1071 rad: the angle in (−90°, 90°) whose tangent is −2. With the check and the unit circle.
    https://calculat.io/en/number/inverse-trigonometry/arctan---2/generated.jpgCopy

    FAQ

    What is arctan(−2)?

    arctan(−2) ≈ −63.4349° ≈ −1.1071 rad

    Why is arctan(−2) ≈ −63.4349°?

    arctan is an odd function: arctan(−x) = −arctan x. So arctan(−2) = −arctan(2) ≈ −63.4349°, and this angle lies in the range (−90°, 90°).

    Why does a calculator show −1.1071 for arctan(−2)?

    The calculator is in radian mode (RAD) and gives the angle in radians: arctan(−2) ≈ −1.1071 rad. In degrees (DEG) it is ≈ −63.4349°.