i need the exact correct matlab codes for the solution of the question written b

Question

i need the exact correct matlab codes for the solution of the question written below, please try to write the codes for each step seperately..

Consider the function f(x)=sin(x)-cos(x),

(A) Find the complex Fourier series of f(x)

(B) Discretize f(x) on [0,2*pi] for n=4 and find its Discrete Fourier Transform.
(You need to write F4 to calculate DFT of f(x).)

(C) Find the Discrete Fourier Transform of f(x) for n=4 by using MatLab and compare with your solution in (B). Explain your answer. (MatLab uses fft command for Discrete Fourier Transform and ifft command for inverse Discrete Fourier Transform.)

Explanation / Answer

This is the Matlab code (just 1 line (can write on command window)):

x = 0:3; f = sin(2*pi*x/4) - cos(2*pi*x/4); F = fft(f, 4); disp(F);

This is the answer given by Matlab:

F =

   0.0000            -2.0000 - 2.0000i   0.0000            -2.0000 + 2.0000i

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