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Non monotonic

  1. Oct 12, 2008 #1
    i understand that non monotonic is neither decreasing nor increasing
    does it mean sin n is also non monotonic ?
     
  2. jcsd
  3. Oct 12, 2008 #2
    As a whole the function is not monotonic, but say if you consider the interval between 0 and pi/2 it is increasing. Hope that helps.
     
  4. Oct 12, 2008 #3

    HallsofIvy

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    A non-monotonic function is neither always decreasing nor always increasing.

    Yes, sin(x) is a non-monotonic function. If You intended n to be an integer, sin n is still non-monotonic because sin(0)= 0 and sin(1)= .8414... so it is increases from 0 to 1 but sin(2) is .9092... and sin(3)= .1411... so it decreases from 2 to 3.

    As Ed Aboud said, you can restrict it to some intervals on which it is monotonic, but, strictly speaking, that gives a different function.
     
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