The Fourier series of the function is given by where 15 Co= Π 4 Сп and -30 л(2n+1)² bn -15(-1)" = n Θ ⑨ (-6x if -π < x < 0 f(x) = 9 x if 0 < x < π ∞ ∞ -br (Cn cos ((2n+1) x) - Σ bn sin (nx) f(x)~ ~CO- n=0 n=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 40E
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please help solve this fourier series equation. i dont know why my answer is wrong: 

The Fourier series of the function
is given by
where
15
Co=
Π
4
Сп
and
-30
л(2n+1)²
bn -15(-1)"
=
n
Θ
⑨
(-6x
if
-π < x < 0
f(x) =
9 x
if
0 < x < π
∞
∞
-br
(Cn cos ((2n+1) x) - Σ bn sin (nx)
f(x)~
~CO-
n=0
n=1
Transcribed Image Text:The Fourier series of the function is given by where 15 Co= Π 4 Сп and -30 л(2n+1)² bn -15(-1)" = n Θ ⑨ (-6x if -π < x < 0 f(x) = 9 x if 0 < x < π ∞ ∞ -br (Cn cos ((2n+1) x) - Σ bn sin (nx) f(x)~ ~CO- n=0 n=1
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