Consider the cartesian equation of a circle, y=-2+- sqrt 36-(x-1)^2 , verses the parametric equations of the same circle: x=1+6

Question

LekaFEV [45]

3 years ago

15

Consider the cartesian equation of a circle, y=-2+- sqrt 36-(x-1)^2 , verses the parametric equations of the same circle: x=1+6

cos t y=-2+6sin t

Mathematics

1 answer:

AURORKA [14] · Answer 1 · 2022-08-09T22:11:01+03:00

What are the advantages of the parametric equations

Answer:

Step-by-step explanation:

Parametric equations shows the relation between a group of quantities by expressing the coordinates of points of a curve and function as one or more independent variables.

From the question given; the advantages of parametric equations given

x = 1 + 6 cos t

y= -2 + 6 sin t

are :

1) For a given value of the independent variable the parametric equation is used exactly one point on the graph

2) the parametric equations have a finite domain

3) the parametric equation is easier to enter into a calculator for graphic