Unit Circle to Sine and Cosine Functions

Creation of this resource was inspired by [url=https://www.geogebra.org/m/S2gMrkbD]this resource[/url] and [url=https://www.geogebra.org/m/MjFgAfBv]this resource[/url] created by [url=https://www.geogebra.org/u/orchiming]Anthony Or[/url]. [br][br]1. Start with Sine. [br]2. Slide the [math]\Theta[/math] bar and observe. [br]3. Slide the segment!, then repeat step 2. [br]4. Reset all the sliders.[br]5 Repeat steps 1 - 3 with Cosine.
What is a Sine/Cosine Graph?
Sine Graph
[b]Which choice best fills the blank: [br][/b][br]When the point on the unit circle is at angle [math]\theta[/math], the sine graph is the ______ coordinate of the point?
Cosine Graph
[b]Which choice best fills the blank: [br][/b][br]When the point on the unit circle is at angle [math]\theta[/math], the cosine graph is the ______ coordinate of the point?
The maximum value of the Sine Graph
The sine graph reaches its maximum value when the angle is at [math]\theta=\frac{\pi}{2}[/math]. What is the maximum value of the sine graph (this is the y-coordinate on the sine graph)?
The maximum value of the Cosine Graph
At what [math]\theta[/math]-value does the cosine reach its maximum value of 1?
Does it stop?
In the activity above, the angle doesn't pass [math]2\pi[/math]. This is not because the graph stops, only because it was harder to make the animation keep working. What happens to the sine and cosine graph when theta passes 2π?
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Information: Unit Circle to Sine and Cosine Functions