2 Let f(x) be a function of period 27 such that 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 70E
icon
Related questions
Question

Only part a solve 

Question 2
Let f(x) be a function of period 27 such that
f(x) = {
0<x<T
T< x < 2π
a) Sketch a graph of f(z) in the interval -2 <r <2m
b) Show that the Fourier series for f(r) in the interval 0 < x < 2π is
1
T
π-1,
0,
W
1
COST + cos 3x +
32
1
sina+sin
cos 5x +
1
1
2r+sin 3r+sin 4r +...
4
+
sin 2
c) By giving an appropriate value to z, show that
πT²
= 1+ +
1
32
Transcribed Image Text:Question 2 Let f(x) be a function of period 27 such that f(x) = { 0<x<T T< x < 2π a) Sketch a graph of f(z) in the interval -2 <r <2m b) Show that the Fourier series for f(r) in the interval 0 < x < 2π is 1 T π-1, 0, W 1 COST + cos 3x + 32 1 sina+sin cos 5x + 1 1 2r+sin 3r+sin 4r +... 4 + sin 2 c) By giving an appropriate value to z, show that πT² = 1+ + 1 32
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning