options: Prove and apply trigonometric identities.

Define, evaluate, and compare functions.

Build new functions from existing functions.

Build a function that models a relationship between two quantities.

Understand the concept of a function and use function notation.

Use functions to model relationships between quantities.

Model periodic phenomena with trigonometric functions.

Analyze functions using different representations.

Construct and compare linear and exponential models and solve problems.

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

Extend the domain of trigonometric functions using the unit circle.

Interpret functions that arise in applications in terms of the context.
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: 0