Question You are given a function on interval Expand the periodic function in Fourier Senes -TTL x 2 T. Sine-Cosine using complex form and show that it is identical to real Form. f(x) = 20₁ -TC XCD D₁ DLX<플 LXLT Answer; f(x)=1+ 4 + HT (sinx 1+ + (cosx - Cos3 πT S + 2sin2x + sin 3x + sin 5x ....) inx + 3 cos 3x + (os 5x ....)

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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Solve using COMPLEX form and show that it is identical to real form.
Question
You are given a function on interval
Expand the periodic function in
Fourier Senes
-TTL x 2 T.
Sine-Cosine
using complex form and show that
it is identical to real Form.
f(x) = 20₁
-TC XCD
D₁
DLX<플
LXLT
Answer; f(x)=1+
4
+
HT (sinx
1+ + (cosx - Cos3
πT
S
+ 2sin2x + sin 3x + sin 5x ....)
inx +
3
cos 3x + (os 5x ....)
Transcribed Image Text:Question You are given a function on interval Expand the periodic function in Fourier Senes -TTL x 2 T. Sine-Cosine using complex form and show that it is identical to real Form. f(x) = 20₁ -TC XCD D₁ DLX<플 LXLT Answer; f(x)=1+ 4 + HT (sinx 1+ + (cosx - Cos3 πT S + 2sin2x + sin 3x + sin 5x ....) inx + 3 cos 3x + (os 5x ....)
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