a$)(15$ Pts$.)$ Determine the Fourier Series coefficients of the following periodic signal:

x$($t$)$

b$)(15$ Pts $.)$ If the above signal is applied to a low$-$pass system with the following frequency

What will be the Fourier Series coefficients of the output? Utilize the concept of

frequency filtering. Write down the simplified time domain representation of the output

signal.

Please solve this question by using fourier series coefficients properties not directly using formula