How can we define the coefficients a half wave symmetry when n is even?
(a) an=0 and bn=0 and a0=0
(b) an=4/T∫x(t)cos(nwt)dt and bn=0= a0
(c) an=4/T∫x(t)sin(nwt)dt and bn=4/T∫x(t)cos(nwt)dt and a0=0
(d) an=4/T∫x(t)sin(nwt)dt and bn=4/T and a0=0
The question was posed to me during an interview.
Origin of the question is Symmetry Properties of the Fourier Series in portion Fourier Series of Signals and Systems