Question 2 Show that the Fourier Series of the waveform in Figure 2 is 6 1 1 ƒ(x) = 1 + (cos.x- cos 3x + -cos 5x-—-cos 7x +... 2 π 3 -π 10 -π/2 1 Figure 2 π/2 π

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 23E
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hello , I am just going through homework answers my lecturer has written and have  a question on the fourier series. when writing the values of an, a3 is negative. why is that ? and when he puts an into the equation he has turned sine to cosine. 

Question 2
Show that the Fourier Series of the waveform in Figure 2 is
6
1
1
1
ƒ(x) = 1 + (cos.x- cos 3x += cos 5x-—-—cos 7x +...
2
π
3
5
7
1
AMA
-π/2
π/2
1
Figure 2
Transcribed Image Text:Question 2 Show that the Fourier Series of the waveform in Figure 2 is 6 1 1 1 ƒ(x) = 1 + (cos.x- cos 3x += cos 5x-—-—cos 7x +... 2 π 3 5 7 1 AMA -π/2 π/2 1 Figure 2
72
a-sinna
- 2 [ 25²^1 11 +0] -2/2 [ Spor - Sing
(3 STAATE)
6 sin nu
ипт
"
(1
=
:: d₁
аз
as
NIE
=
11
DIE
9
377
6
STT
9₂=0
a4=0
a6=0
sinntt =0.
Transcribed Image Text:72 a-sinna - 2 [ 25²^1 11 +0] -2/2 [ Spor - Sing (3 STAATE) 6 sin nu ипт " (1 = :: d₁ аз as NIE = 11 DIE 9 377 6 STT 9₂=0 a4=0 a6=0 sinntt =0.
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