A pair of parametric equations is given. x- cos(t), y- cos(2t) (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. y y 1.5 1.5 1.0 Let 0.5 0.5 -1.5 -1.0 -0.5 0.5 yo 1.5 -1.5 -1.0 / -0.5 0.5 1.0 1.5 -0.5 -0.5 -1.0 -1.0 -1.5 -1.5 y y 1.5 1.5 1.0 1.0- 0.5 0.5 0.5 0.5/ 1.0 -1.5 -10 -0.5 -1.5 -1.0 0.5 1.5 0.5 1.0 WebAssign Plot -0.5 -0.5 -1.0 -1.5 -1.5 (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter. where

Question

A pair of parametric equations is given.

x = cos(t),    y = cos(2t)
(a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases.
 
(b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.
 
 
? where ≤ x ≤ ?
 
(The screenshot of the question is attached.) ( This is one question and has 2 parts. Please include step by step solution for each one)
A pair of parametric equations is given.
x- cos(t), y- cos(2t)
(a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases.
y
y
1.5
1.5
1.0
Let
0.5
0.5
-1.5
-1.0
-0.5
0.5
yo
1.5
-1.5
-1.0 / -0.5
0.5
1.0
1.5
-0.5
-0.5
-1.0
-1.0
-1.5
-1.5
y
y
1.5
1.5
1.0
1.0-
0.5
0.5
0.5
0.5/ 1.0
-1.5 -10 -0.5
-1.5 -1.0
0.5
1.5
0.5
1.0
WebAssign Plot
-0.5
-0.5
-1.0
-1.5
-1.5
(b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.
where
Expand
Transcribed Image Text

A pair of parametric equations is given. x- cos(t), y- cos(2t) (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. y y 1.5 1.5 1.0 Let 0.5 0.5 -1.5 -1.0 -0.5 0.5 yo 1.5 -1.5 -1.0 / -0.5 0.5 1.0 1.5 -0.5 -0.5 -1.0 -1.0 -1.5 -1.5 y y 1.5 1.5 1.0 1.0- 0.5 0.5 0.5 0.5/ 1.0 -1.5 -10 -0.5 -1.5 -1.0 0.5 1.5 0.5 1.0 WebAssign Plot -0.5 -0.5 -1.0 -1.5 -1.5 (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter. where

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