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General Solution

  1. Oct 5, 2005 #1
    For the general solution of sin x = 0, must you have a solution using 0, pi and 2pi (ie. pi + 2pi * k, 2pi + 2pi * k, ...) or does using pi suffice?
     
  2. jcsd
  3. Oct 5, 2005 #2
    Sin(x) is zero when x is 0, pi, 2pi, etc. What does this tell you in terms of writing a general solution? Pay attention to the coefficients.

    Alex
     
  4. Oct 5, 2005 #3
    I feel dumb for asking now

    0 + pi * k
     
  5. Oct 5, 2005 #4
    Yes, for all non-negative integer values of k.

    Alex
     
  6. Oct 5, 2005 #5
    Doesn't it still work for negative integers or am I missing something?
     
    Last edited: Oct 5, 2005
  7. Oct 5, 2005 #6

    TD

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    If you use k*pi with k an integer, you have all of your solutions.
    Since, choose k = 0 to find the solution 0, use k = 1 to find the solution pi and use k = 2 to find 2*pi. Of course, all (positive and negative) multiples or 2*pi are allowed as well :smile:
     
  8. Oct 5, 2005 #7
    Thank you kind sirs.
     
  9. Oct 6, 2005 #8

    TD

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    You're welcome :smile:
     
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