Question

Eliminate the parameter, t, in the parametric equations, x = 2cost and y = 4sint.
x2 + y2 = 4
x2 + y2 = 16
4x2 + y2 = 16
x2 + 2y2 = 16

Answer 1

the answer is the fourth one.

Answer 2

Answer:

4x^2 + y^2= 16

Step-by-step explanation:

x= 2cost

y=4sint

x= x/2

y=y/4

use equation;

sin^2x + cos^2x= 1

replace:

(y/4)^2 + (x/2)^2=1

y^2/16 + x^2/4= 1

y^2+4x^2/16=1

y^2+x^2=16

rearrange:

4x^2 + y^2= 16