options: Build new functions from existing functions.

Extend the domain of trigonometric functions using the unit circle.

Define, evaluate, and compare functions.

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

Prove and apply trigonometric identities.

Analyze functions using different representations.

Construct and compare linear and exponential models and solve problems.

Model periodic phenomena with trigonometric functions.

Build a function that models a relationship between two quantities.

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

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: 4