Let f(t) be the half-sine wave over the interval (0, 2 ): By comparing this picture with the graphs in Fourier below decide which terms are missing in 1. the full Fourier series for this function; 2. the sine series for this function; 3. the cosine series for this function. Hint: Hold the pictures of Fourier's sines and cosines beneath the picture of f(t), visually multiply the functions together, and use symmetry/antisymmetry to decide which integrals will be zero