1. Consider the parametric equations x = cos(2t) – sin(2t), y = sin(2), -sts cos(2t) + Зл a. Eliminate the parameter t to find a Cartesian equation for the parametric curve. Hint: Multiply y by v2, then square both equations and add them together. b. Sketch the parametric curve, indicating with arrows the direction in which the curve is traced.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 44CT
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1. Consider the parametric equations
x = cos(2t) – sin(2t), y =
sin(2), -sts
cos(2t) +
Зл
a. Eliminate the parameter t to find a Cartesian equation for the parametric curve. Hint:
Multiply y by v2, then square both equations and add them together.
b. Sketch the parametric curve, indicating with arrows the direction in which the curve is
traced.
Transcribed Image Text:1. Consider the parametric equations x = cos(2t) – sin(2t), y = sin(2), -sts cos(2t) + Зл a. Eliminate the parameter t to find a Cartesian equation for the parametric curve. Hint: Multiply y by v2, then square both equations and add them together. b. Sketch the parametric curve, indicating with arrows the direction in which the curve is traced.
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