options: Extend the domain of trigonometric functions using the unit circle.

Analyze functions using different representations.

Define, evaluate, and compare functions.

Construct and compare linear and exponential models and solve problems.

Build a function that models a relationship between two quantities.

Build new functions from existing functions.

Model periodic phenomena with trigonometric functions.

Prove and apply trigonometric identities.

Understand the concept of a function and use function notation.

Use functions to model relationships between quantities.

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

Interpret functions that arise in applications in terms of the context.
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: 7