need solution

4. Consider the function Mac) : sin (% (x + on x E [0,5]. (a) Sketch the even and odd periodic extensions of the function over the interval [8, 17]. You may do this either as a careful handdrawn diagram, or using your preferred plotting program, or a combination of both. (b) Write formulae for both the Fourier sine and cosine series for this function and solve these quantitatively using wolfram alpha or otherwise. You do not need to create simplified expres sions, but can evaluate the expressions without simplication numerically. (c) Using Matlab or similar, plot the function and both Fourier series using 10 terms of the full interval on the same axes and compare. Comment on whether the convergence of both series is in line with expectation