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Period of cot inverse x

  1. Apr 19, 2008 #1
    What is the fundamental period of cot inverse x?
    The book, “TRIGONOMETRY “by S.L.Loney says it is –pi/2 to +pi/2 whereas IIT MATHEMATICS by M.L.Khanna says that is 0 to pi
     
  2. jcsd
  3. Apr 19, 2008 #2

    HallsofIvy

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    If f is a non one-to-one function, then, in order to define its "inverse" you must restrict it to an interval on which it is one-to-one. Which such interval you choose is a matter of convention. And for tangent, those are two commonly used conventions.
     
  4. Apr 20, 2008 #3
    But examination point of view which one to choose?
     
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