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If a periodic function f(t) of period T satisfies f(t) = −f (t + T/2) , then in its Fourier series expansion
  • a)
    The constant term will be zero
  • b)
    There will be no cosine terms
  • c)
    There will be no sine terms
  • d)
    There will be no even harmonics
Correct answer is option 'B'. Can you explain this answer?
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If a periodic function f(t) of period T satisfies f(t) = −f (t +...
Explanation: The fourier series will contain the cosine terms if the periodic function f (t) of period T satisfies f (t) = -f(t+T/2), and this can be proved by the basic definition of the fourier transform.
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If a periodic function f(t) of period T satisfies f(t) = −f (t +...
It seems like the sentence is incomplete. Could you please provide the full expression for f(t)?
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If a periodic function f(t) of period T satisfies f(t) = −f (t + T/2) , then in its Fourier series expansiona)The constant term will be zerob)There will be no cosine termsc)There will be no sine termsd)There will be no even harmonicsCorrect answer is option 'B'. Can you explain this answer?
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