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Part I: Complete the following steps: If you are not already familiar with GeoGebra, refer to the following tutorial(Links to an external site.). To begin,

Part I: Complete the following steps:

  1. If you are not already familiar with GeoGebra, refer to the following tutorial(Links to an external site.).
  2. To begin, expand the tool menu by clicking on "More". Then click on the "Circle with Center and Radius" tool under "Circles". Then, create the unit circle with appropriate center and radius.
  3. Select a point on the circle that is not on one of the axes using the "Point" tool under "Points".
  4. Create right triangle with the origin, your selected point, and the point directly above or below yours on the x-axis. Use the "Polygon" tool under "Polygons".
  5. Check that your triangle is a right triangle by using the "Angle" tool under "Measure".
  6. Use the "Distance or Length" tool under "Measure" to find the side lengths of your triangle.
  7. Save your GeoGebra work as a .pdf file for submission.

Part II: Based on your work in Part I, discuss the following:

  1. What quadrant is your point in? How can you tell?
  2. Which angle has terminal side which crosses the unit circle at your point? How did you determine this?
  3. Discuss how to find the reference angle for an angle.
  4. What is the reference angle for the angle you just found?
  5. Use the reference angle to find all six trigonometric functions of your angle.
  6. Could you have used other angles to evaluate the six trigonometric functions? Explain.
  7. What missing sides does your right triangle have? Fill in any that are missing and discuss how you found them.
  8. Describe at least one alternative method for finding the missing sides you just solved for. If no other method exists, explain why not.
  9. Discuss how you can verify that you have drawn the unit circle by comparing side lengths of the triangle with trigonometric values of the angle at the origin.
  10. Is there an equal right triangle to the one you created? If so, discuss how you identified it and give the coordinates of its vertices.

thank you!!!

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