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]Slide the [math]\theta[/math] slider first. Explore!
Sine Function
How is the Unit Circle being used in order to create the sign function? Think about both the x and y values.
Why is the vertical distance used for sine?
Cosine Function
How is the Unit Circle being used in order to create the cosine function? Think about both the x and y values.
Why is the vertical distance used for cosine?
Tangent Function
How could we take what we know about sine and cosine and apply it to help us graph tangent?
What happens to the tangent function when sine and cosine are a value of zero?
Secant and Cosecant Functions
How could you apply this information to form the secant and cosecant graphs? Explain some of the features of the graph you may see.
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Information: Unit Circle to Sine and Cosine Functions