x(t) = acos((a + b)t) y(t) = acos((a − b)t) Use the GeoGebra tool to graph the parametric equations on the domain [-π, 0] and include the orientation for the following cases: a = 2 and b = 1 a = 3 and b = 2 a = 4 and b = 3 a = 5 and b = 4 Discuss the role of a and b in the parametric equations shown above. Discuss why the domain is given as [-π, 0]. What would change if the domain were given as [0, π] instead?
x(t) = acos((a + b)t) y(t) = acos((a − b)t) Use the GeoGebra tool to graph the parametric equations on the domain [-π, 0] and include the orientation for the following cases: a = 2 and b = 1 a = 3 and b = 2 a = 4 and b = 3 a = 5 and b = 4 Discuss the role of a and b in the parametric equations shown above. Discuss why the domain is given as [-π, 0]. What would change if the domain were given as [0, π] instead?
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 110E
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Question
x(t) = acos((a + b)t) y(t) = acos((a − b)t)
- Use the GeoGebra tool to graph the parametric equations on the domain [-π, 0] and include the orientation for the following cases:
- a = 2 and b = 1
- a = 3 and b = 2
- a = 4 and b = 3
- a = 5 and b = 4
- Discuss the role of a and b in the parametric equations shown above.
- Discuss why the domain is given as [-π, 0]. What would change if the domain were given as [0, π] instead?
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