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

Analyze functions using different representations.

Prove and apply trigonometric identities.

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

Model periodic phenomena with trigonometric functions.

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.

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

Build new functions from existing functions.

Use functions to model relationships between quantities.

Build a function that models a relationship between two quantities.
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: 2