options: Construct and compare linear and exponential models and solve problems.

Extend the domain of trigonometric functions using the unit circle.

Prove and apply trigonometric identities.

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

Define, evaluate, and compare functions.

Build a function that models a relationship between two quantities.

Analyze functions using different representations.

Model periodic phenomena with trigonometric functions.

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

Build new functions from existing functions.

Understand the concept of a function and use function notation.

Use functions to model relationships between quantities.
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: 2