Suppose that the function f(x) is defined as f(x) = 2 sin²x-9 sin x cos x + cos² (2x) — 7 sin(2x) cos(2x), xЄ[−Ñ‚Ñ] If f(x) is expanded into a Fourier series 8 f(x) = ½ao+[a, cos(nx) + b sin(nx)], find the values of n=1 (a) do (b) a4 (c) b4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
Question
100%
Suppose that the function f(x) is defined as
f(x) = 2 sin²x - 9 sin x cos x + cos² (2x) - 7 sin(2x) cos(2x), xЄ[-л,л]
If f(x) is expanded into a Fourier series
∞
f(x) = 0 + [an cos(nx) + bë sin(nx)],
find the values of
(a) ao
Σ
n = 1
(b) a4
(c) b4
Transcribed Image Text:Suppose that the function f(x) is defined as f(x) = 2 sin²x - 9 sin x cos x + cos² (2x) - 7 sin(2x) cos(2x), xЄ[-л,л] If f(x) is expanded into a Fourier series ∞ f(x) = 0 + [an cos(nx) + bë sin(nx)], find the values of (a) ao Σ n = 1 (b) a4 (c) b4
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