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

Extend the domain of trigonometric functions using the unit circle.

Understand the concept of a function and use function notation.

Define, evaluate, and compare functions.

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

Build a function that models a relationship between two quantities.

Use functions to model relationships between quantities.

Prove and apply trigonometric identities.

Construct and compare linear and exponential models and solve problems.

Model periodic phenomena with trigonometric functions.

Build new functions from existing functions.

Analyze functions using different representations.
problem_activity: Problem 1
Prove the cofunction identity of:
$${\mathrm{cos}\left({\pi\over2}-x\right)=\mathrm{sin}x}$$
Using the sum or difference formula.
Problem 2
Solve:
$${\mathrm{sin}\left(x+{\pi\over4}\right)+1=\mathrm{sin}\left({\pi\over4}-x\right)}$$
for
$${0 \leq x \leq 2\pi}$$
.


correct_option_index: 7