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6) Given f(t) = cos(1000t)sin(1500t). A) B) Compute the trigonometric Fourier series for f(t). Draw the Fourier transform for f(t). FYI: cos(a + B) = cos(a)cos(B) + sin(a)sin(ß) and sin(a ± B) = sin(a)cos(B) ± cos(a)sin(B).

6) Given f(t) = cos(1000t)sin(1500t). A) B) Compute the trigonometric Fourier series for f(t). Draw the Fourier transform for f(t). FYI: cos(a + B) = cos(a)cos(B) + sin(a)sin(ß) and sin(a ± B) = sin(a)cos(B) ± cos(a)sin(B).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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This question is about trigonometric Fourier Series.
6) Given f(t) = cos(1000t)sin(1500t). A) B) FYI: cos(a ± B) = cos(a)cos(B) + sin(a)sin(B) and sin(a ± ß) = sin(a)cos(B) ± cos(a)sin(ß). Compute the trigonometric Fourier series for f(t). Draw the Fourier transform for f(t).
Transcribed Image Text:6) Given f(t) = cos(1000t)sin(1500t). A) B) FYI: cos(a ± B) = cos(a)cos(B) + sin(a)sin(B) and sin(a ± ß) = sin(a)cos(B) ± cos(a)sin(ß). Compute the trigonometric Fourier series for f(t). Draw the Fourier transform for f(t).
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