Mathematics (2019) Grade(s): 09-12 - Precalculus

MA19.PRE.36

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.

Unpacked Content

Knowledge

Students know:
  • Periodic situations are best modeled by trig functions.
  • Solutions that are mathematically possible may not be physically possible in the context of the problem.
  • Determine when technology is appropriate to finding a solution.

Skills

Students are able to:
  • Solve a trig equation.
  • Interpret the meaning of the solution.
  • Interpret a domain in a contextual situation.
  • Use technology to solve a trig equation.
  • Translate a computed solution to an equivalent solution that fits in the physical domain (i.e., If -30 degrees is a solution, then another solution can be 330 degrees).

Understanding

Students understand that:
  • There are periodic phenomena in real life that can be modeled by trig functions.
  • From the many solutions that result from a periodic function, only some may be logical given the context.

Vocabulary

  • Inverse functions
  • Trigonometric equations
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