Compute the Fourier sine series of f(x) = cos x, x = [0, ]. Sketch the...

 

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Compute the Fourier sine series of f(x) = cos x, x = [0, π]. Sketch the Fourier sine series on the interval [-2, 2n]. To what value does the series converge at x = 0? (b) (4 points) What is the Fourier cosine series of f(x) = cosa, xe [0, 7]? Include the domain of the series in your answer. [Hint: You shouldn't need to do a calculation for this.] Compute the Fourier sine series of f(x) = cos x, x = [0, π]. Sketch the Fourier sine series on the interval [-2, 2n]. To what value does the series converge at x = 0? (b) (4 points) What is the Fourier cosine series of f(x) = cosa, xe [0, 7]? Include the domain of the series in your answer. [Hint: You shouldn't need to do a calculation for this.]