$5\mathrm{.}15$ Waveform in Fig. P$5\mathrm{.}15$ with $A=20.$

$($a$)$ Determine if the waveform has dc$,$ even, or odd symmetry.

$($b$)$ Obtain its cosine$/$sine Fourier series representation.

$($c$)$ Convert the representation to amplitude$/$phase format and plot the line spectra for the first five non$-$zero terms.

$($d$)$ Convert the representation to complex exponential format and plot the line spectra for the first five non$-$zero terms.

$($e$)$ Use MATLAB or MathScript to plot the waveform using a truncated Fourier series representation with $n_{\text{m}\text{a}\text{x}}=100.$