options: Understand the concept of a function and use function notation.

Use functions to model relationships between quantities.

Model periodic phenomena with trigonometric functions.

Build a function that models a relationship between two quantities.

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

Analyze functions using different representations.

Prove and apply trigonometric identities.

Extend the domain of trigonometric functions using the unit circle.

Build new functions from existing functions.

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

Construct and compare linear and exponential models and solve problems.

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: 7