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

Model periodic phenomena with trigonometric functions.

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

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.

Extend the domain of trigonometric functions using the unit circle.

Define, evaluate, and compare functions.

Use functions to model relationships between quantities.

Prove and apply trigonometric identities.

Analyze functions using different representations.

Build new functions from existing functions.
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: 9