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
Answer:B
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
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.