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)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter7: Analytic Trigonometry
Section7.FOM: Focus On Modeling: Traveling And Standing Waves
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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 rt=cost,0,sint for 0t2π.

 

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)

cost

(y)

0

(z)

sint

0 1 0 0
π2 0 0 1
π -1 0 0
3π2 0 0 -1
2π 1 0 0
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