Graphing curves Graph the curves described by the following functions, indicating the positive orientation. r(t) = ⟨cos t, 0, sin t⟩ , for 0 ≤ t ≤ 2π
Graphing curves Graph the curves described by the following functions, indicating the positive orientation. r(t) = ⟨cos t, 0, sin t⟩ , for 0 ≤ t ≤ 2π
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.FOM: Focus On Modeling: Traveling And Standing Waves
Problem 3P
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Graphing curves Graph the curves described by the following functions, indicating the positive orientation.
r(t) = ⟨cos t, 0, sin t⟩ , for 0 ≤ t ≤ 2π
Expert Solution
Step 1
Given the function is for .
From the function, it can seen that the y-component is zero. Therefore the curve will be plotted on the x-z plane.
The curve will be a circle of radius 1 unit.
t |
(x) |
(y) 0 |
(z) |
0 | 1 | 0 | 0 |
0 | 0 | 1 | |
-1 | 0 | 0 | |
0 | 0 | -1 | |
1 | 0 | 0 |
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