Discussion
The trigonometric Fourier series of a periodic time function can have only :
Answer: D
The keyed answer is cosine and sine terms.
The trigonometric Fourier series of a periodic function is
\[ \begin{aligned} f(t) &= a_{0} + \sum_{n}a_{n}\cos n\omega_{0}t \\ &\quad + \sum_{n}b_{n}\sin n\omega_{0}t \end{aligned} \]
so in general it is built from cosine and sine terms (with a constant, the DC term). Only cosine terms, or only sine terms, appear just in the special cases of even and odd functions, and 'DC and cosine' is again the even-function case. Of the options, only 'cosine and sine terms' describes the general series.
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