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Inverse cotangent function.

  1. Oct 3, 2007 #1
    Wikipedia shows this graph for the arccotangent function, which I can also find in a few other web pages like this one.

    On the other hand I have these from Wolfram and Mathlab.

    Why do some references add PI on the negative side while others do not? I see definitions for negative values such as arccot(-x) = pi - arccot(x) in the first case and arccot(x) = arctan(1/x) for the second case. Which one is (more) correct?
  2. jcsd
  3. Oct 3, 2007 #2


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    The Wolfram MathWorld link has the explanation, starting with "There are at least two possible conventions for defining the inverse cotangent."
  4. Oct 3, 2007 #3
    :redface: Doh!
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