Question

How do you graph parametric equations?Graph x(θ)=2cosθ,y(θ)=5sinθ, where [0,π].Drag a term, phrase, or value into each box to correctly complete the statements.

Answer 1

1) Graph

Answer:

Explanation:

The given equations are

x(θ) = 2Cosθ

y(θ) = 5Sinθ

Interval = [0, π]

We would substitute values between 0 and π for θ in both equations. We have

θ x(θ) = 2Cosθ y(θ) = 5Sinθ

0 2Cos(0) = 2 5Sin(0) = 0

π/6 2Cos(π/6) =√3 5Sin(π/6) = 2.5

π/3 2Cos(π/3) = 1 5Sin( π/3) = 5√3/2

π/2 2Cos(π/2) = 0 5Sin( π/2) = 5

2π/3 2Cos(2π/3) = - 1 5Sin( 2π/3) = 5√3/2

5π/6 2Cos(5π/6) = - √3 5Sin( 5π/6) =