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

Define, evaluate, and compare functions.

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

Analyze functions using different representations.

Understand the concept of a function and use function notation.

Build a function that models a relationship between two quantities.

Prove and apply trigonometric identities.

Build new functions from existing functions.

Extend the domain of trigonometric functions using the unit circle.

Use functions to model relationships between quantities.

Model periodic phenomena with trigonometric functions.

Construct and compare linear and exponential models and solve problems.
problem_activity: Task
[IMG]
In the triangle pictured above show that
$$
\left(\frac{|AB|}{|AC|}\right)^2 + \left(\frac{|BC|}{|AC|}\right)^2 = 1
$$
Deduce that $\sin^2{\theta} + \cos^2{\theta} = 1$ for any acute angle $\theta$.
If $\theta$ is in the second quadrant and $\sin{\theta} = \frac{8}{17}$ what can you say about  $\cos{\theta}$?  Draw a picture and explain.


correct_option_index: 6