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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:
- If you are not already familiar with GeoGebra, refer to the following tutorial(Links to an external site.).
- 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.
- Select a point on the circle that is not on one of the axes using the "Point" tool under "Points".
- 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".
- Check that your triangle is a right triangle by using the "Angle" tool under "Measure".
- Use the "Distance or Length" tool under "Measure" to find the side lengths of your triangle.
- Save your GeoGebra work as a .pdf file for submission.
Part II: Based on your work in Part I, discuss the following:
- What quadrant is your point in? How can you tell?
- Which angle has terminal side which crosses the unit circle at your point? How did you determine this?
- Discuss how to find the reference angle for an angle.
- What is the reference angle for the angle you just found?
- Use the reference angle to find all six trigonometric functions of your angle.
- Could you have used other angles to evaluate the six trigonometric functions? Explain.
- What missing sides does your right triangle have? Fill in any that are missing and discuss how you found them.
- Describe at least one alternative method for finding the missing sides you just solved for. If no other method exists, explain why not.
- 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.
- 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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