Given two periodic functions, f(t) and g(t) is defined by g(t) = cos. 0...

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Given two periodic functions, f(t) and g(t) is defined by g(t) = cos. 0 <t< 27 f(t) = cos- and -T <t<T 2 %3D f(t) = f(t+27) g(t) = g(t+27) Sketch the graph of the periodic functions f(t) and g (t) over the interval [-37,37]. Sketch in separate graphs. (Please use any online graphing software not hand-drawn). Find the Fourier series of f(t) and g(t). (b) Then, briefly comment what do you observe from the graphs and the Fourier series expansion of f(t) and g(t). Given two periodic functions, f(t) and g(t) is defined by g(t) = cos. 0 <t< 27 f(t) = cos- and -T <t<T 2 %3D f(t) = f(t+27) g(t) = g(t+27) Sketch the graph of the periodic functions f(t) and g (t) over the interval [-37,37]. Sketch in separate graphs. (Please use any online graphing software not hand-drawn). Find the Fourier series of f(t) and g(t). (b) Then, briefly comment what do you observe from the graphs and the Fourier series expansion of f(t) and g(t).

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