The complex Fourier series representation of a periodic function of period 2π is given by FS(t) = Σ n=1x Cne-int where cn = 1+ 6 n³ -(4-2(-1)")j. Find, to three decimal places, the amplitude c₁ 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:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 72E
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The complex Fourier series representation of a periodic function of period 2 is given by
FS(t) = Σ
n=1x
Cne-int
where cn = 1+
6
n³
-(4-2(-1)")j.
Find, to three decimal places, the amplitude |c₁ 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:
Transcribed Image Text:The complex Fourier series representation of a periodic function of period 2 is given by FS(t) = Σ n=1x Cne-int where cn = 1+ 6 n³ -(4-2(-1)")j. Find, to three decimal places, the amplitude |c₁ 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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