Consider the parametric equations x = cos 2t, y = cos t for 0stsn.H a. Eliminate the parameter to write a rectangular (Cartesian) equation for the curve. Your final equation must NOT contain any trig functions or inverse trig functions. b. Fill in the table below and then use these values to sketch a graph of the curve defined by the parametric equations in the xy-plane. On your graph, use arrows to show the direction of increasing t. y 4 2 37 4 tttttt

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 20E
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Consider the parametric equations x = cos 2t, y = cos t for 0stsn.H
a. Eliminate the parameter to write a rectangular (Cartesian) equation for the curve. Your
final equation must NOT contain any trig functions or inverse trig functions.
b. Fill in the table below and then use these values to sketch a graph of the curve defined
by the parametric equations in the xy-plane. On your graph, use arrows to show the
direction of increasing t.
y
4
2
37
4
tttttt
Transcribed Image Text:Consider the parametric equations x = cos 2t, y = cos t for 0stsn.H a. Eliminate the parameter to write a rectangular (Cartesian) equation for the curve. Your final equation must NOT contain any trig functions or inverse trig functions. b. Fill in the table below and then use these values to sketch a graph of the curve defined by the parametric equations in the xy-plane. On your graph, use arrows to show the direction of increasing t. y 4 2 37 4 tttttt
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