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    Arctan of 0

    Arcsin, Arccos, Arctan, Arccot
    Function
    x

    What is arctan(0)?

    Answer

    arctan(0) =
    0° = 0

    Range: arctan x is an angle strictly between −90° and 90°, so the answer is unique.

    arctan(0) is the angle α in (−90°, 90°) with tan α = 0.

    tan 0° = 0 ✓

    xyOP

    α = arctan(0) = 0°

    P(cos 0°, sin 0°) = (1, 0)

    T(1, 0) is where line OP meets the line x = 1; highlighted: tan α = 0.

    All four inverse functions of 0
    FunctionDegreesRadians
    arcsin(0)0°0
    arccos(0)90°π/2
    arctan(0)0°0
    arccot(0)90°π/2

    See Also

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    https://calculat.io/en/number/inverse-trigonometry/arctan--0Copy
    <a href="https://calculat.io/en/number/inverse-trigonometry/arctan--0">Arctan of 0 (Inverse Tangent) in Degrees and Radians</a>Copy
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    Arctan of 0 (Inverse Tangent) in Degrees and Radians. arctan(0) = 0° = 0: the angle in (−90°, 90°) whose tangent is 0. With the check and the unit circle.
    https://calculat.io/en/number/inverse-trigonometry/arctan--0/generated.jpgCopy

    Arctangent of nearby values

    xarctan x
    −4/5≈ −38.6598°
    −√3/3−30° = −π/6
    −0.3≈ −16.6992°
    00° = 0
    0.1≈ 5.7106°
    1/5≈ 11.3099°
    1/4≈ 14.0362°
    Recalculate with different values ↑

    FAQ

    What is arctan(0)?

    arctan(0) = 0° = 0

    How to find arctan(0) from a table of tangents?

    Look in the table for the angle α in (−90°, 90°) with tan α = 0: it is 0°, or 0 in radians.

    What is the difference between arctan, tan⁻¹ and 1/tan?

    tan⁻¹ x is another way to write arctan x (that is how the calculator key is labelled), not 1/tan x: 1/tan x is the cotangent. arctan x is the angle whose tangent is x; it exists for any x. Here: arctan(0) = 0° = 0.

    See Also