options: Prove and apply trigonometric identities.

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

Understand the concept of a function and use function notation.

Analyze functions using different representations.

Construct and compare linear and exponential models and solve problems.

Extend the domain of trigonometric functions using the unit circle.

Model periodic phenomena with trigonometric functions.

Use functions to model relationships between quantities.

Build new functions from existing functions.

Define, evaluate, and compare functions.

Build a function that models a relationship between two quantities.

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