Determine the Fourier Series of S x, x, 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.6: Permutations
Problem 1E
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Determine the Fourier Series of
x, 0<x<T
f(x)
{
π,
O!
Зл
f(x) =
@
f(x) =
#
f(x)
f(x)
$
=
=
=
cosx + cos 3x+cos 5x + ...]
[sina+sin 2x + sin 3x + ... ]
1
2
1
1
- [sinax +sin 3x + sin 5ær + .
5x
1
2
ㅠ
-{sin+sin 2x +sin 32 +
3x
..}
2
π²
1
-4 cos z - cos2x+cos 3r - cos 4r +...]
1
22
1
4²
3
32
π < x < 2π, and has period 2
=
NE
Transcribed Image Text:Determine the Fourier Series of x, 0<x<T f(x) { π, O! Зл f(x) = @ f(x) = # f(x) f(x) $ = = = cosx + cos 3x+cos 5x + ...] [sina+sin 2x + sin 3x + ... ] 1 2 1 1 - [sinax +sin 3x + sin 5ær + . 5x 1 2 ㅠ -{sin+sin 2x +sin 32 + 3x ..} 2 π² 1 -4 cos z - cos2x+cos 3r - cos 4r +...] 1 22 1 4² 3 32 π < x < 2π, and has period 2 = NE
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