Consider the following. sin(30), y=cos(). X = y = -π< θ< π (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. y y to to -0.5 0.5 10 -0.5 0.5 10 -0.2 -0.2 -0.4 -0.4 -0.6 -0.6 -0.8 -0.8 y y tot 1.01 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 X 1.0 X -1.0 -0.5 0.5 -1.0 -0.5 0.5 1.0

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Analytic Trigonometry
Section7.4: Basic Trigonometric Equations
Problem 3E
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Consider the following.
sin(30),
cos(),
X =
y = cos
-T < 0 < T
(a) Eliminate the parameter to find a Cartesian equation of the curve.
(b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.
y
y
X
X
-1.0
-0.5
0.5
1/0
-1.0
-0.5
0.5
1/0
-0.2
-0.2E
-0.4
-0.4
-0.6
-0.6
-0.8
-0.8
1.01
y
y
tot
0.8
0.8F
0.6
0.6
0.4
0.4
0.2
0.2
X
X
-1.0
-0.5
0.5
1.0
-1.0
-0.5
0.5
1.0
Transcribed Image Text:Consider the following. sin(30), cos(), X = y = cos -T < 0 < T (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. y y X X -1.0 -0.5 0.5 1/0 -1.0 -0.5 0.5 1/0 -0.2 -0.2E -0.4 -0.4 -0.6 -0.6 -0.8 -0.8 1.01 y y tot 0.8 0.8F 0.6 0.6 0.4 0.4 0.2 0.2 X X -1.0 -0.5 0.5 1.0 -1.0 -0.5 0.5 1.0
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