options: Build new functions from existing functions.

Prove and apply trigonometric identities.

Extend the domain of trigonometric functions using the unit circle.

Understand the concept of a function and use function notation.

Analyze functions using different representations.

Define, evaluate, and compare functions.

Construct and compare linear and exponential models and solve problems.

Build a function that models a relationship between two quantities.

Model periodic phenomena with trigonometric functions.

Use functions to model relationships between quantities.

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

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