1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Fourier series of Sin(2x)

  1. Sep 10, 2009 #1
    I have to find the fourier series of f(x)=sin(2x)
    but i always get all the coefficients (a0, an and bn) equal zero.
    is it right?
    Thank you
  2. jcsd
  3. Sep 10, 2009 #2


    User Avatar
    Homework Helper

    It depends on what basis functions and interval you use. If the often used basis {1,cos(x),cos(2x),...,sin(x),sin(2x),...} with interval length 2pi the answer should be obvious.
  4. Sep 10, 2009 #3
    sin is an odd function, so half your coefficients should be zero, not all of them
  5. Sep 10, 2009 #4


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Did you check b_2 carefully? It shouldn't be 0.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook