Harmonic Oscillations: Superposition Principle

This lecture delves into the concept of harmonic oscillations, specifically focusing on the superposition principle, which allows for the resolution of trigonometric equations by reducing them to a single trigonometric function. Through examples, the instructor demonstrates how to apply this principle to solve equations involving sums of cosine and sine functions, providing additional tools for tackling trigonometric problems. The lecture covers the process of finding amplitudes and phase angles using trigonometric formulas, emphasizing the importance of convention in determining the appropriate solutions. By applying the superposition principle, complex equations can be simplified, enabling straightforward resolution using known trigonometric techniques.