If the period T is note equal to 27 but T=2L then f(x) = a + an bn Σ(ancosx + b₂ sin x) n=1 1 2L ao f(x)dx [ f(x) cos/x dx nn = f(x) sin 1/x dx -x -L Example find the Fourier expansion of the periodic function shown below 2- -2 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 79E
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If the period T is note equal to 27 but T=2L then
nn
nn
f(x) = a + (an cos x + b₁ sin
an
bn
00
n=1
ao =
-
1
2L
f(x)dx
-L
L
#L f(x) cos
nπ
=
— * f(x) sin /x dx
-x
a
-2
ni
f(x)
2-
L
Example
find the Fourier expansion of the periodic function shown below
-x dx
2
Please, I need a step-by-step solution,
a detailed solution and a clear line
Transcribed Image Text:If the period T is note equal to 27 but T=2L then nn nn f(x) = a + (an cos x + b₁ sin an bn 00 n=1 ao = - 1 2L f(x)dx -L L #L f(x) cos nπ = — * f(x) sin /x dx -x a -2 ni f(x) 2- L Example find the Fourier expansion of the periodic function shown below -x dx 2 Please, I need a step-by-step solution, a detailed solution and a clear line
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