Let f(x)=2 cos(5x)+3 sin(4x) and let q, be the Fourier polynomial of degree n for f. (a) Show that if n = 3, q,(x) = 0. (b) Find q4. (c) Explain why q,(x) = f(x) if n 5.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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10. Let f(x) = 2 cos(5.x)+3 sin(4x) and let q, be the Fourier
polynomial of degree n for f.
(a) Show that if n = 3, q,(x) = 0.
(b) Find q4.
(c) Explain why q„(x)= f(x) if n2 5.
Transcribed Image Text:10. Let f(x) = 2 cos(5.x)+3 sin(4x) and let q, be the Fourier polynomial of degree n for f. (a) Show that if n = 3, q,(x) = 0. (b) Find q4. (c) Explain why q„(x)= f(x) if n2 5.
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