A signal has half-wave symmetry if x(t – T0/2) = −x(t). For example, sin ω0t has half-wave...

A signal has half-wave symmetry if x(t – T0/2) = −x(t). For example, sin ω0t has half-wave symmetry, as does the triangular wave of Figure (a). Show that a signal with half-wave symmetry has no even harmonics; that is, Ck = 0, k = 0, 2, 4, 6, ….