Question: Signal Amplitude Spectrum and Phase Spectrum using Fourier Package?

Questions about Fourier series use in Maple/Or even which commands should I use in Maple to solve these questions as I didn’t find the commands in Maple in general; Here are some questions:

In the Following Question, assume any function.

1-     The Fourier series package shows the Fourier series of a periodic signal in different forms (Sin/Cos, Exponential), and then one can display the signal spectrum. Here you define the spectrum as the amplitudeCnversusn; i.e.abs(Cn) as a function ofn, whereasnmoves from minus infinity to infinity.How can I display the phase spectrum too ("Theta" as a function of "n")?

4-     With some functions containing an exponential, I find the Maple can’t always calculate its Fourier/Laplace Transform, sois there a problem with certain functions containing exponential functions?

6-     For a time limited function, how can I display the magnitude and phase of its Fourier Transform as a function of Frequency?