Model periodic phenomena

What you'll learn

1. Identify the amplitude, period, and midline of a sinusoidal function from its equation y = A sin(Bx) + D or y = A cos(Bx) + D
2. Determine amplitude, period, and midline from a real-world context (maximum and minimum values, cycle length)
3. Write a sinusoidal model given contextual information about a periodic phenomenon
4. Decide whether sine or cosine is more appropriate based on starting conditions (e.g., starts at midline vs. starts at maximum)
5. Interpret the parameters A, B, and D in terms of the physical context being modeled
6. Use a sinusoidal model to predict values at specific input values

Prerequisites

• Extend trigonometric functions using unit circle
• Interpret key features of graphs