options: Prove and apply trigonometric identities.

Model periodic phenomena with trigonometric functions.

Interpret functions that arise in applications in terms of the context.

Interpret expressions for functions in terms of the situation they model.

Define, evaluate, and compare functions.

Build a function that models a relationship between two quantities.

Build new functions from existing functions.

Understand the concept of a function and use function notation.

Analyze functions using different representations.

Use functions to model relationships between quantities.

Extend the domain of trigonometric functions using the unit circle.

Construct and compare linear and exponential models and solve problems.
problem_activity: Given:
$${{f(x)}=\mathrm{cos}(2x)}$$
$${g(x)=-\mathrm{cos}(x)}$$
[IMG]
a.   Describe the period, amplitude, and midline of the function
$${f(x)}$$
.
b.   Where is
$${f(x)}=g(x)$$
over the domain of
$${0\leq x \leq 2\pi}$$
?


correct_option_index: 0