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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F955e192e-949b-43db-b1bc-9e4d5aa0185f%2Fd46a859c-c2f7-49fa-b7e4-d56498f0540d%2Fao4m95_processed.png&w=3840&q=75)
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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