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

Build new functions from existing functions.

Model periodic phenomena with trigonometric functions.

Build a function that models a relationship between two quantities.

Use functions to model relationships between quantities.

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.

Construct and compare linear and exponential models and solve problems.

Analyze functions using different representations.

Extend the domain of trigonometric functions using the unit circle.

Define, evaluate, and compare functions.
problem_activity: Draw and label a figure on the circle that illustrates the relationship of the trigonometric tangent functions
$${\mathrm{tan}=\frac{\mathrm{sin}(\theta^\circ)}{\mathrm{cos}(\theta^\circ)}}$$
and the geometric tangent line to a circle through the point
$${(1,0)}$$
when
$${\theta=60}$$
. Explain the relationship, labeling the figure as needed.
[IMG]


correct_option_index: 10