The function $\sin^2(\omega t)$ represents\\
(1) a periodic, but not simple harmonic motion with a period $2\pi/\omega$\\
(2) a periodic, but not simple harmonic motion with a period $\pi/\omega$\\
(3) a simple harmonic motion with a period $2\pi/\omega$\\
(4) a simple harmonic motion with a period $\pi/\omega$