A pair of parametric equations is given. 3 cos(t), y 4 sin(t), 0 sts 2T x (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases у У 2 2 х X 2 -2- -2 у 2 X х -4 -2 2 -4 -2 2 4 -2 (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 12T
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A pair of parametric equations is given.
3 cos(t), y
4 sin(t), 0 sts 2T
x
(a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases
у
У
2
2
х
X
2
-2-
-2
у
2
X
х
-4
-2
2
-4
-2
2
4
-2
(b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.
Transcribed Image Text:A pair of parametric equations is given. 3 cos(t), y 4 sin(t), 0 sts 2T x (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases у У 2 2 х X 2 -2- -2 у 2 X х -4 -2 2 -4 -2 2 4 -2 (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.
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