COT

    Math & Trig

    Returns the cotangent of an angle (in radians). Cotangent is the reciprocal of tangent: 1/TAN(x).

    Translations
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    Syntax
    COT(number)

    Arguments

    • numberAn angle in radians.
    Examples
    =COT(PI()/4)
    1

    Cotangent of 45° is 1

    =COT(RADIANS(30))
    1.7321

    Cotangent of 30° (≈ √3)

    Tips & Best Practices
    • Available since Excel 2013
    • Returns #DIV/0! when number is a multiple of π (where TAN = 0)
    • Use RADIANS() to convert degrees to radians first
    Common Mistakes
    • Passing an angle that's an exact multiple of π (where tangent equals 0), which returns a #DIV/0! error since cotangent is mathematically undefined at those points
    • Passing an angle in degrees directly to COT without converting it first - COT expects radians, so COT(45) doesn't give the cotangent of 45 degrees, and RADIANS(45) needs to be used instead
    • Confusing COT with TAN by assuming they're simply opposite signs of the same thing - cotangent is the reciprocal of tangent (1/TAN(x)), not its negative
    Related Functions
    TANCalculates the tangent of an angle, the reciprocal relationship to what COT calculates (COT(x) = 1/TAN(x)).
    ACOTPerforms the inverse operation - takes a cotangent value and returns the corresponding angle in radians.
    RADIANSConverts a degree value into radians, the unit COT expects for its angle argument.
    Frequently Asked Questions

    Why does COT return a #DIV/0! error?

    The angle is a multiple of π (like 0, π, 2π), where tangent equals 0 - since cotangent is 1/TAN(x), dividing by that zero produces the error.

    Is cotangent the same as negative tangent?

    No, cotangent is the reciprocal of tangent, not its negative - COT(x) equals 1/TAN(x), a different relationship entirely.

    Why do I need RADIANS before using COT?

    COT expects its input in radians, not degrees. If your angle is in degrees, wrap it in RADIANS first, like COT(RADIANS(45)).

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