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

Model periodic phenomena with trigonometric functions.

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

Analyze functions using different representations.

Define, evaluate, and compare functions.

Build a function that models a relationship between two quantities.

Build new functions from existing functions.

Prove and apply trigonometric identities.

Use functions to model relationships between quantities.

Construct and compare linear and exponential models and solve problems.

Understand the concept of a function and use function notation.

Extend the domain of trigonometric functions using the unit circle.
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