The two parametric equations are x = cos'1, y = sin't and the value of i lie between 0 and 2n. For every value of 1, we get x, y coordinates correspondingly. Below is the table for each values of t and their corresponding values of x and y. 01 0 |-1 0 2x 1 0 Plot the points from above table to get the graph of the parametric equation x = cos'r and y = sin't, 1.0 t=n/2 -1.0 0.5 0.5 1.0 0.5+ -1.0

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 44CT
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Can you please explain the graph? because I don't understand how the point 0,-1 came to be as the calculation shows there isn't that point ? It is circled in blue in the screen shot. Original probelm also attached.

 

A pair of parametric equations is given.

x = cos3(t),    y = sin3(t),    0 ≤ t ≤ 2?
(a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases.
Sketching a Curve by Eliminating the Parameter A pair of
parametric equations is given. (a) Sketch the curve represented by
the parametric equations. Use arrows to indicate the direction of
the curve as tincreases. (b) Find a rectangular-coordinate
equation for the curve by eliminating the parameter.
26. x= cos t, y= sin° t, 0sts 2
Transcribed Image Text:Sketching a Curve by Eliminating the Parameter A pair of parametric equations is given. (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as tincreases. (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter. 26. x= cos t, y= sin° t, 0sts 2
The two parametric equations are x = cos?t, y = sin't and the value
of t lie between 0 and 2z.
X3D
For every value of 1, we get x, y coordinates correspondingly.
Below is the table for each values of t and their corresponding
values of x and y.
01 0
-1 0
2a 1
Plot the points from above table to get the graph of the parametric
equation x = cos'r and y = sin't,
1.0 t=n/2
0.51
t=0
-1.0
0.5
0.5
1.0
0.5+
-1.0
Transcribed Image Text:The two parametric equations are x = cos?t, y = sin't and the value of t lie between 0 and 2z. X3D For every value of 1, we get x, y coordinates correspondingly. Below is the table for each values of t and their corresponding values of x and y. 01 0 -1 0 2a 1 Plot the points from above table to get the graph of the parametric equation x = cos'r and y = sin't, 1.0 t=n/2 0.51 t=0 -1.0 0.5 0.5 1.0 0.5+ -1.0
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