McLovink4093 McLovink4093
  • 23-03-2021
  • Mathematics
contestada

4)What kind of shape do the parametric equations make?X= 7sin(theta), y= 2cos(theta)

A) Circle

B) Ellipse

C) Square

D) Parabola

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 26-03-2021

Answer:

Ellipse

Step-by-step explanation:

Given

[tex]x = 7sin\theta[/tex]

[tex]y= 2cos\theta[/tex]

Required

The kind of shapes with such equations

This answer to this question is(B) Ellipse

The parametric equation of an ellipse is represented as:

[tex]x = asin(\theta)[/tex] and [tex]y = bcos(\theta)[/tex]

In this case:

[tex]a=7\ b = 2[/tex]

So:

[tex]x = 7sin\theta[/tex] and [tex]y= 2cos\theta[/tex]

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