Harmonic Oscillations: Superposition Principle

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Explores the interpretation of angles on the trigonometric circle and its applications in circular motion.

Covers the equation of motion for a harmonic oscillator and fundamental modes of coupled oscillators.

Covers ordinary linear homogeneous differential equations, focusing on the harmonic oscillator equation and its solutions.

Explores trigonometric addition theorem, double angles, and tangent properties.

Explores the symmetries of trigonometric functions, periodicity, and properties of even and odd functions.

Explores the cosine theorem in triangles, analyzing side and angle relationships.

Covers complex numbers, derivatives, and solutions of the damped harmonic oscillator with different damping regimes.

Introduces the basics of solving trigonometric equations through examples and various techniques.

Explores solving trigonometric equations with tangent and cotangent functions, along with arctangent and arccotangent definitions.

Introduces the basics of trigonometric functions, their properties, and practical applications in geometry and physics.