Chapter 16 - Trigonometric Equations
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"In this chapter, students are introduced to solving trigonometric equations. They use their knowledge of the unit circle, radian measures, and the graphical behaviors of trigonometric functions to solve sine, cosine, and tangent equations. Students then apply all that they have learned to model various situations with trigonometric functions, including circular motion. Finally, students explore the damping function and modeling with trigonometric transformations." Carnegie Textbook |
"On October 14, 2013, astronaut Luca Parmitano sent us this picture from aboard the International Space Station (ISS). During his mission, Luca became the first Italian astronaut to take part in a spacewalk. The trigonometric function he is holding represents the position of the ISS in orbit over time." - Carnegie Textbook
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Lesson 16.1 - Solving Trigonometric Equations
"This lesson begins by highlighting what students already know that will allow them to solve trigonometric equations, such as graphical behaviors, periodicity identities, and the unit circle." - Carnegie Textbook Lesson 16.2 - Modeling with Periodic Functions
"Students use their knowledge of trigonometric functions and solving trigonometric equations to model real-world situations involving periodic behavior." - Carnegie Textbook |
Lesson 16.3 - Modeling Motion with a Trigonometric Function
"In this lesson, students model the motion of a wheel using a trigonometric function. " - Carnegie Textbook Lesson 16.4 - The Damping Function
"In this lesson, students build a damping function by constructing two separate functions—a trigonometric function and an exponential function—and then multiplying them to model the trigonometric function with decreasing amplitude." - Carnegie Textbook |