Question

In the Fourier series expansion of the odd function bold symbol fx, the constant coefficient bold symbol a,0 is equal to zero. •True •False

Answer 1

The statement 'In the Fourier series expansion of the odd function fx, the constant coefficient a,0 is equal to zero' is True.

Step-by-step explanation:

The statement 'In the Fourier series expansion of the odd function fx, the constant coefficient a,0 is equal to zero' is True.

In the Fourier series expansion of an odd function, all of the cosine terms in the series have coefficients equal to zero. This is because an odd function is symmetric about the origin and has no even components. Since the constant term in the series corresponds to the cosine term with no argument, it is always equal to zero for an odd function.