options: Analyze functions using different representations.

Build new functions from existing functions.

Prove and apply trigonometric identities.

Define, evaluate, and compare functions.

Understand the concept of a function and use function notation.

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

Build a function that models a relationship between two quantities.

Model periodic phenomena with trigonometric functions.

Extend the domain of trigonometric functions using the unit circle.

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

Use functions to model relationships between quantities.

Construct and compare linear and exponential models and solve problems.
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: 8