Question 6. The complex Fourier series representation of a periodic function of period 2π is given by ∞ Fs(t) = Σ n=1x where Cn = Cne-int 4 n³ I 2+ -(1-3(−1)n)j. Find, to three decimal places, the amplitude |cn| and phase on for n = 1, 2. Enter the real and imaginary values of c-1 in the appropriate boxes below. Enter |c₁| correct to 3 decimal places: Enter 1 correct to 3 decimal places: Enter |c₂| correct to 3 decimal places: Enter 2 correct to 3 decimal places: Enter the real part of c-1 : Enter the imaginary part of c-1 :
Question 6. The complex Fourier series representation of a periodic function of period 2π is given by ∞ Fs(t) = Σ n=1x where Cn = Cne-int 4 n³ I 2+ -(1-3(−1)n)j. Find, to three decimal places, the amplitude |cn| and phase on for n = 1, 2. Enter the real and imaginary values of c-1 in the appropriate boxes below. Enter |c₁| correct to 3 decimal places: Enter 1 correct to 3 decimal places: Enter |c₂| correct to 3 decimal places: Enter 2 correct to 3 decimal places: Enter the real part of c-1 : Enter the imaginary part of c-1 :
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Transcribed Image Text:Question 6.
The complex Fourier series representation of a periodic function of period 2π is given by
∞
FS(t) = Σ
n=-∞
Cne-int
I
4
where Cn = 2 + (1−3(−1)n)j.
3
Find, to three decimal places, the amplitude cn and phase on for n = 1, 2.
Enter the real and imaginary values of c-₁ in the appropriate boxes below.
Enter |c₁| correct to 3 decimal places:
Enter 1 correct to 3 decimal places:
Enter |c₂| correct to 3 decimal places:
Enter 2 correct to 3 decimal places:
Enter the real part of c-1:
Enter the imaginary part of c-1 :
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