Question

Problem 1. Find the Fourier series expansion of a half-wave rectified sine wave depicted below. AS(0) Answer: f(t) = 1+sin at cos2nt 1 nr 15 2 Cos 4t -cost + ... 35 Problem 2. Find the Fourier series approximation of the following periodic function f(x), where the first two leading cosine and sine functions must be included. Angle sum formulas for sine / cosine functions f(x) sin(A + B) = sin A cos B + cos A sin B sin(A - B) = sin A cos B - cos A sin B TT COS(A + B) = cos A cos B - sin Asin B cos(A - B) = cos A cosB + sin A sin B TE 0 11 TT 2 2 Answer: f(x) = 2 + sin 2x - cos 4x + cos 6x - cos 8x + ...

Answer 1

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