Determine the Fourier Series of S x, x, 0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 14E
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8752dbaa-4493-49fa-aff3-ae25b9d9d5fb%2F27dfc258-54d2-4e2d-be80-9aebaae31337%2Fv289s1q_processed.png&w=3840&q=75)
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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