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Learning Goal
Part of: Model periodic phenomena with trigonometric functions — 3 of 3 cluster items
Solve trigonometric equations
HSF.TF.B.7
**HSF.TF.B.7**: (+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.
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HSF.TF.B.7: (+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.
What you'll learn
- Isolate the trigonometric expression in an equation arising from a modeling context
- Apply arcsin, arccos, or arctan to find a principal solution to a trigonometric equation
- Use periodicity and symmetry to find all solutions within a specified interval
- Use technology (calculator) to evaluate inverse trig functions for non-standard values
- Interpret solutions in terms of the real-world context (e.g., "the height reaches 40 feet at t = 2.3 minutes")
- Determine which solutions are meaningful in the modeling context and discard extraneous ones
Prerequisites
Slides
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Slides
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