options: Define, evaluate, and compare functions.

Prove and apply trigonometric identities.

Build new functions from existing functions.

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

Build a function that models a relationship between two quantities.

Use functions to model relationships between quantities.

Understand the concept of a function and use function notation.

Model periodic phenomena with trigonometric functions.

Construct and compare linear and exponential models and solve problems.

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

Analyze functions using different representations.

Extend the domain of trigonometric functions using the unit circle.
problem_activity: Problem 1
Find
$${\mathrm{sin}(u-v)}$$
given
$${\mathrm{sin}(u)={8\over17}}$$
with
$${0\leq u \leq {\pi\over2}}$$
and
$${\mathrm{cos}(v)=-{24\over25}}$$
with
$${\pi \leq v \leq {3\pi\over2}}$$
.
Problem 2
Evaluate:
$${\mathrm{sin}(-15^{\circ})}$$
$${\mathrm{cos}(15^{\circ})}$$


correct_option_index: 1