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Let f(x) = 1- x on 0, T|. The Fourier cosine series of f on 0, T is a) None of these (-1)" cos (! b) COS n?n? n=1 c) 1 2[1-(-1)"] cos(nx) 2 n=1 d) 1- +E 2[1-(-1)"] n²² cos(nnx) n=1 2|1-(-1)") cos(nx) e) 1-+ n=1

Let f(x) = 1- x on 0, T|. The Fourier cosine series of f on 0, T is a) None of these (-1)" cos (! b) COS n?n? n=1 c) 1 2[1-(-1)"] cos(nx) 2 n=1 d) 1- +E 2[1-(-1)"] n²² cos(nnx) n=1 2|1-(-1)") cos(nx) e) 1-+ n=1

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 22E
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Let f(x) =1- x on 0, T|. The Fourier cosine series of f on 0, T| is a) None of these b) 글 + Σ (-1)" cos ( 2 c) 1 Σ 2[1-(-1)"] cos(nx) - n=1 d) 1-+E 2[1-(-1)"] n²² cos(nTx) n=1 2[1-(-1)") cos(nx) e) 1-+ n=1
Transcribed Image Text:Let f(x) =1- x on 0, T|. The Fourier cosine series of f on 0, T| is a) None of these b) 글 + Σ (-1)" cos ( 2 c) 1 Σ 2[1-(-1)"] cos(nx) - n=1 d) 1-+E 2[1-(-1)"] n²² cos(nTx) n=1 2[1-(-1)") cos(nx) e) 1-+ n=1
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