The function ${\sin }^2\left(\mathrm{\omega t}\right)$ represents:

• A

  a simple harmonic motion with a period $\frac{2\mathrm{\pi }}{\mathrm{\omega }}$

• B

  a simple harmonic motion with a period $\frac{\mathrm{\pi }}{\mathrm{\omega }}$

• C

  $\mathrm{a} \mathrm{periodic}, \mathrm{but} \mathrm{not} \mathrm{simple} \mathrm{harmonic} \mathrm{motion} \mathrm{with} \mathrm{a} \mathrm{period} \frac{2\mathrm{\pi }}{\mathrm{\omega }}$

• D

  a periodic, but not simple harmonic motion with a period $\frac{\mathrm{\pi }}{\mathrm{\omega }}$