Often, sinusoidal functions represent oscillating motion such as a pendulum or circular motion such as a Ferris wheel. You can use the key characteristics of a sinusoidal graph to solve problems related to these types of motion. The following diagrams illustrate how the position of a point in circular motion correlates to the graph of a sinusoidal function.

Read the following textbook examples to explore more thoroughly the connection of sinusoidal functions to oscillating motion and circular motion.

Read pages 502-505 Examples 3 and 4

Complete the Your Turn questions on page 503 (a, b) and page 505 (a) for more practice interpreting the graph of a sinusoidal function to solve problems.

Click here to verify your answers.