MA19.PRE.36

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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