A pair of parametric equations is given. x = cos 3t, y = sin 3t (a) Sketch the curve represented by the parametric equations. y 4

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.4: Plane Curves And Parametric Equations
Problem 40E
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A pair of parametric equations is given.
x = cos 3t, y = sin 3t
(a) Sketch the curve represented by the parametric equations.
y
y
2
2
-2
-2
2
-2
y
4
4
-2
2
-2
2
(b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.
Transcribed Image Text:A pair of parametric equations is given. x = cos 3t, y = sin 3t (a) Sketch the curve represented by the parametric equations. y y 2 2 -2 -2 2 -2 y 4 4 -2 2 -2 2 (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.
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