11.9 Trigonometric Modelling

Trigonometric Modelling

1. 1. Identify periodic behaviour in real-world contexts (tides, daylight, sound, rotating machinery).
2. 2. Model periodic phenomena using $y = A \sin(B(x - C)) + D$ and $y = A \cos(B(x - C)) + D$.
3. 3. Identify and interpret amplitude, period, mean (vertical shift) and phase shift.
4. 4. Fit a sinusoidal model to data using technology.
5. 5. Use a fitted model to predict and interpret values in context.
6. 6. Investigate transformations of more general set functions and piecewise periodic functions.
7. 7. Explore the tangent function.