An interactive for exploring the coordinates and angles of the unit circle, as well as finding the patterns among both. Explore the unit circle by moving the block dot around the unit circle. After exploring, answer the questions below the unit circle to earn credit for your classwork.
As you rotated around the unit circle from 0 degrees to 360 degrees, what did you notice? What changed? What stay the same? What patterns do you observe? Be as specific as you possibly can.
What is the radius of the unit circle? How does this radius connect to the maximum and minimum values of the sine and cosine functions? Click on the link in Question 3. if you are unsure.
What relationship does the Sine function have with the unit circle? Notice how the graph of sine is changing when the angle of the unit circle changes!
What relationship does the Cosine function have with the unit circle? Notice how the graph of sine is changing when the angle of the unit circle changes!