ATAN

    Math & Trig

    Returns the arctangent (inverse tangent) of a number. The result is an angle in radians between -PI/2 and PI/2.

    Translations
    EnglishATAN
    FrenchATAN
    SpanishATAN
    GermanARCTAN
    ItalianATAN
    PortugueseATAN
    DutchBOOGTAN
    PolishATAN
    RussianATAN
    TurkishATAN
    CzechATAN
    HungarianARCTAN
    SwedishARCTAN
    DanishARCTAN
    FinnishATAN
    Syntax
    ATAN(number)

    Arguments

    • numberThe tangent value (any real number)
    Examples
    =ATAN(1)
    0.7854

    Arctangent of 1 = PI/4 radians (45 degrees)

    =DEGREES(ATAN(1))
    45

    Arctangent of 1 = 45 degrees

    =ATAN(0)
    0

    Arctangent of 0 = 0 radians

    Tips & Best Practices
    • Accepts any real number (no range restriction like ASIN/ACOS)
    • Returns radians, wrap in DEGREES() for degrees
    • Use ATAN2(x,y) for two-argument version
    Common Mistakes
    • Expecting ATAN to return an answer in degrees - it always returns radians, so the result often needs to be wrapped in DEGREES to be useful
    • Using ATAN instead of ATAN2 when both an x and y coordinate are available - ATAN only takes a single ratio and can't distinguish between angles in different quadrants, while ATAN2 handles that correctly
    • Confusing ATAN with TAN - ATAN takes a ratio and returns an angle, while TAN takes an angle and returns a ratio, and using the wrong one inverts the intended calculation
    Related Functions
    TANPerforms the inverse operation - takes an angle and returns a tangent ratio, rather than taking a ratio and returning an angle.
    ATAN2Calculates an angle from separate x and y coordinates, correctly handling all four quadrants in a way plain ATAN cannot.
    DEGREESConverts ATAN's radian result into degrees, a common step since ATAN never returns degrees directly.
    Frequently Asked Questions

    Does ATAN return degrees or radians?

    Always radians. Wrap the result in DEGREES, like DEGREES(ATAN(1)), if you need degrees instead.

    Why should I use ATAN2 instead of ATAN?

    ATAN only accepts a single ratio and can't tell which quadrant the angle belongs in, while ATAN2 takes separate x and y coordinates and correctly determines the angle across all four quadrants.

    What's the difference between ATAN and TAN?

    ATAN takes a ratio and returns the corresponding angle. TAN does the opposite - it takes an angle and returns a ratio.

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