options: Build a function that models a relationship between two quantities.

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

Prove and apply trigonometric identities.

Extend the domain of trigonometric functions using the unit circle.

Build new functions from existing functions.

Understand the concept of a function and use function notation.

Define, evaluate, and compare functions.

Model periodic phenomena with trigonometric functions.

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

Use functions to model relationships between quantities.

Construct and compare linear and exponential models and solve problems.

Analyze functions using different representations.
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: 3