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Problem with two trigonometric integrals

  1. Sep 30, 2011 #1
    Hi

    I have a little problem with the integrals of the following functions.

    integral from 0to 2pi ∫sin^2(nθ+ψ)dθ=∫cos^2(nθ+ψ)dθ=pi

    ψ=the phase angle.They occur in the theory of vibrations.

    Is it appropriate to set ψ=0

    Thank you
     
  2. jcsd
  3. Sep 30, 2011 #2
    In general probably not. But your bounds are 0-2pi so I would say that phase doesn't matter
     
  4. Sep 30, 2011 #3
    And when I say that it doesn't matter, I mean that it won't affect the value of that integral. I think that 2*pi will be divisible by the period of both of those functions regardless of n.
     
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