The frequency of a particle performing SHM is 12 Hz. Its amplitude is 4 cm. Its initial displacement is 2 cm towards positive extreme position. Its equation for displacement is

• A

  $\mathrm{x}=0.04\cos \left(24\mathrm{\pi t}+\frac{\mathrm{\pi }}{6}\right)\mathrm{m}$

• B

  $\mathrm{x}=0.04\sin \left(24\mathrm{\pi t}\right)\mathrm{m}$

• C

  $\mathrm{x}=0.04\sin \left(24\mathrm{\pi t}+\frac{\mathrm{\pi }}{6}\right)\mathrm{m}$

• D

  $\mathrm{x}=0.04\cos \left(24\mathrm{\pi t}\right)\mathrm{m}$