Question 13 (Mapped to ILO3) Determine the Fourier Series of x, 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.5: Product-to-sum And Sum-to-product Formulas
Problem 33E
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Question 13 (Mapped to ILO3)
Determine the Fourier Series of
x,
0<x<T
|f(x) = {
π,
π < x < 2π,
O!
=
2/ [c
and has period 27
cos x+cos3x+cos 5x + -]
...
[sin x + sin 2x + sin 3x +
]
1
1
sin x+sin 3x + sin 5x +
+...]
π
1
1
-{sin x + 2 sin 2x + sin 3x +
+...}
2
3
$
77²
1
1
1
f(x):
) = -4 [cos r- cos 2r + cos 3.x - 72 008 4r + ...]
cos
3
22
32
4²
f(x)=
#
f(x)
=
es
3x
1
2
=
....
Transcribed Image Text:Question 13 (Mapped to ILO3) Determine the Fourier Series of x, 0<x<T |f(x) = { π, π < x < 2π, O! = 2/ [c and has period 27 cos x+cos3x+cos 5x + -] ... [sin x + sin 2x + sin 3x + ] 1 1 sin x+sin 3x + sin 5x + +...] π 1 1 -{sin x + 2 sin 2x + sin 3x + +...} 2 3 $ 77² 1 1 1 f(x): ) = -4 [cos r- cos 2r + cos 3.x - 72 008 4r + ...] cos 3 22 32 4² f(x)= # f(x) = es 3x 1 2 = ....
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