a) Sketch the following periodic, even, piecewise-linear function, g, showing 3 complete periods. g(t)=\left\{\begin{array}{ll} \frac{4}{\pi} t+5, & 0 \leq t \leq \pi / 2 \\ -\frac{2}{\pi} t+8, & \pi /

2 \leq t \leq \pi \end{array} \quad \text { period }=2 \pi\right. b) Calculate the coefficient, ao, in the Fourier series expansion of this function.[5 c) Obtain an equation of the coefficient an, where a, > 1, in the Fourier series of this function.[8] d) Hence, write down the first seven, non-zero, terms in this Fourier Series.