Applications of Trigonometric Functions

This Applications of Trigonometric Functions presentation also includes:

Using trigonometric ratios to solve geometry and application problems is the focus of this detailed problem set and solution presentation. The presentation covers many ways to use trigonometry, from finding missing measures in right triangles to solving for unknowns in composite shapes to determining navigational bearings, and calculating real-life distances. A great survey of different ways to use all those memorized ratios, making it a great add-on to your right triangle trigonometry curriculum.

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CCSS: Adaptable
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Instructional Ideas
  • Assign a research project for small groups to find actual ship captains' logs with bearings and speeds and determine route and trajectory, similar to problem 10
  • Create a matching game with triangles and their missing side or angle measures, requiring use of trigonometric functions to identify matches
  • Extend by discussing what minimum information a missing side / angle problem requires to solve
  • Leave the worksheet for the class as a substitute lesson plan, with the solution guide provided to the teacher
Classroom Considerations
  • Presentation would make a great interactive whiteboard lesson with individual steps and solutions revealed as the problems are worked
  • Add additional supports into the class notes by including pre-drawn diagrams for the application problems
  • ESL learners might need additional explanation of terms in the bearing and application problems
  • This resource is only available on an unencrypted HTTP website. It should be fine for general use, but don’t use it to share any personally identifiable information
  • Multiple versions of many problems for effective guided practice
  • Problem set gradually progresses in difficulty
  • Detailed step-by-step solutions provided
  • None