options: Understand the concept of a function and use function notation.

Analyze functions using different representations.

Construct and compare linear and exponential models and solve problems.

Build new functions from existing functions.

Define, evaluate, and compare functions.

Extend the domain of trigonometric functions using the unit circle.

Model periodic phenomena with trigonometric functions.

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

Prove and apply trigonometric identities.

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

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: 8