Consider the Following Periodic Function with Period 2?:
F (T) $\pi$

Multiple Choice

Consider the following periodic function with period 2?:
F (t) =
F (t + 2 $\pi$ ) = f (t)
Which of these is the Fourier representation for f (t) ?

A) $\frac{8}{9}+\frac{8}{\pi} \sum_{n=1}^{\infty} \frac{1}{n} \sin \frac{n \pi}{9} \sin (n t)$
B) $\frac{8}{9}+\frac{8}{\pi} \sum_{n=1}^{\infty} \frac{1}{n} \sin \frac{n \pi}{9} \cos (n t)$
C) $\frac{8}{\pi} \sum_{n=1}^{\infty} \frac{1}{n} \sin \frac{n \pi}{9} \sin (n t)$
D) $\frac{8}{\pi} \sum_{n=1}^{\infty} \frac{1}{n} \sin \frac{n \pi}{9} \cos (n t)$