A triangular wave is represented by f(x)= { -x, 0 < x <π -< x <0 (c) Plot f(x) using the first three (3) terms of its Fourier series representation.
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- Find two fourier expansions for the function h(r) = sin(x). In one expansion, all the sine terms should have zero as their coefficient. In the other expansion, all the cosine terms should have zero as their coefficient.A periodic waveform is defined by (ii) f(t) = (iii) T 0st with f(t+mT) = f(t) and m is an integer. (i) Sketch f(t) over two full cycles in the time domain, labelling the axes. T (-3 ½ stST Derive the formulae for the real Fourier coefficients an and bn for f(t). Write down the real Fourier series for f(t), including the first five non- zero terms.3