options: Prove and apply trigonometric identities.

Build a function that models a relationship between two quantities.

Use functions to model relationships between quantities.

Analyze functions using different representations.

Build new functions from existing functions.

Define, evaluate, and compare functions.

Model periodic phenomena with trigonometric functions.

Extend the domain of trigonometric functions using the unit circle.

Construct and compare linear and exponential models and solve problems.

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

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

Understand the concept of a function and use function notation.
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