[color=#1551b5]Submitted by Mr. Donald C. Albin Jr.[/color] Professional Educator [url]www.donaldalbin.99k.org[/url] Explore the relationship between the unit circle and the trigonometric curves for sine and cosine. [b]Directions[/b] [list] [*]Move the blue circle around the unit circle. Observe how the two points move along the sine and cosine curves. [/list]
[b]Questions to promote inquiry[/b] [list] [*]How can you read the value of the sine function from the unit circle? [*]How can you read the value of the cosine function from the unit circle? [*]Compare and contrast the axes of the unit circle and the trigonometric curves. [*]The tangent is not shown. Name three ways of identifying the tangent from the graphs. [*]What happens to the trigonometric curves when θ is less than zero or greater than 2π? [*]The amplitude and period are shown on the graph of the trigonometric curves. Note that the period is measured 'peak-to-peak'. Period and amplitude have physical meaning in the unit circle also. What is the physical meaning of amplitude and period in the unit circle? [/list]