Consider the parametric equations x = 8 cos t and y = 8 sin t. (a) Describe the curve represented by the parametric equations. (b) How does the curve represented by the parametric equations x = 8 cos t + 3 and y = 8 sin t + 6 compare to the curve described in part (a)? (c) How does the original curve change when cosine and sine are interchanged?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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Consider the parametric equations x = 8 cos t and y = 8 sin t. (a) Describe the curve represented by the parametric equations. (b) How does the curve represented by the parametric equations x = 8 cos t + 3 and y = 8 sin t + 6 compare to the curve described in part (a)? (c) How does the original curve change when cosine and sine are interchanged?

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