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Learning Goal

Part of: Model periodic phenomena with trigonometric functions3 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

  1. Isolate the trigonometric expression in an equation arising from a modeling context
  2. Apply arcsin, arccos, or arctan to find a principal solution to a trigonometric equation
  3. Use periodicity and symmetry to find all solutions within a specified interval
  4. Use technology (calculator) to evaluate inverse trig functions for non-standard values
  5. Interpret solutions in terms of the real-world context (e.g., "the height reaches 40 feet at t = 2.3 minutes")
  6. Determine which solutions are meaningful in the modeling context and discard extraneous ones

Slides

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Slides

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