1. This small group activity is designed to help upper-division undergraduate students move between two different representations of the harmonic motion, namely $A\sin \left(\omega t + \phi\right)$ and $B_1\sin \left(\omega t\right) + B_2\cos \left(\omega t\right)$.
  2. Students apply specific initial conditions to determine the two arbitrary constants in the two different forms.
  3. The wrap-up discussion reinforces that both forms describe the same motion and that the relationship between the two forms can be easily derived using standard trigonometric expansions.

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