Inverse Tangent Calculator

Calculate the inverse tangent (arctan) of a value. Returns the angle whose tangent equals the input.

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Angle Rad

0.78539816

View formula & how it works →

Inverse Tangent (Arctan)

Definition

arctan(x) = the angle whose tangent is x

Domain and Range

  • Domain: all real numbers
  • Range: -90° to 90° (-pi/2 to pi/2 radians)

    • Unlike arcsin and arccos, arctan accepts any real number as input.

    Example Calculation

    Find arctan(1).

    1. 01arctan(1) = pi/4 radians
    2. 02= 45 degrees
    3. 03Verification: tan(45°) = 1

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