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4.2. Consider the Fourier series for the periodic functions given. (i) x(t)=sin 41+ cos 8r+7+ cos 161 (ii) x(1) = cos² (iii) x(1)=3+5 cost + 6 sin (21+ /4) (iv) x()-10 + 3 cos (1) + 7 sin (4.5r) (v)x() 110 cos (3771) (vi) x(1)=4(cos 21) (sin 4r) (vii) x(1) 4 sin²(41) + cos(161) (a) Find the Fourier coefficients of the exponential form for each signal. (b) Find the Fourier coefficients of the combined trigonometric form for each signal.

4.2. Consider the Fourier series for the periodic functions given. (i) x(t)=sin 41+ cos 8r+7+ cos 161 (ii) x(1) = cos² (iii) x(1)=3+5 cost + 6 sin (21+ /4) (iv) x()-10 + 3 cos (1) + 7 sin (4.5r) (v)x() 110 cos (3771) (vi) x(1)=4(cos 21) (sin 4r) (vii) x(1) 4 sin²(41) + cos(161) (a) Find the Fourier coefficients of the exponential form for each signal. (b) Find the Fourier coefficients of the combined trigonometric form for each signal.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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4.2. Consider the Fourier series for the periodic functions given. (i) x(t)=sin 41+ cos 8r+7+ cos 161 (ii) x(1) = cos² (iii) x(1)=3+5 cost + 6 sin (21+ /4) (iv) x()-10 + 3 cos (1) + 7 sin (4.5r) (v)x() 110 cos (3771) (vi) x(1)=4(cos 21) (sin 4r) (vii) x(1) 4 sin²(41) + cos(161) (a) Find the Fourier coefficients of the exponential form for each signal. (b) Find the Fourier coefficients of the combined trigonometric form for each signal.
Transcribed Image Text:4.2. Consider the Fourier series for the periodic functions given. (i) x(t)=sin 41+ cos 8r+7+ cos 161 (ii) x(1) = cos² (iii) x(1)=3+5 cost + 6 sin (21+ /4) (iv) x()-10 + 3 cos (1) + 7 sin (4.5r) (v)x() 110 cos (3771) (vi) x(1)=4(cos 21) (sin 4r) (vii) x(1) 4 sin²(41) + cos(161) (a) Find the Fourier coefficients of the exponential form for each signal. (b) Find the Fourier coefficients of the combined trigonometric form for each signal.
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