SOLUTION: {{{x = 2 + 3}}} cos θ , {{{y = 2}}} sin θ Sketch the curve of the parametric equations. Then eliminate the parameter and write the corresponding rectangular equation wh

Algebra ->  Equations -> SOLUTION: {{{x = 2 + 3}}} cos θ , {{{y = 2}}} sin θ Sketch the curve of the parametric equations. Then eliminate the parameter and write the corresponding rectangular equation wh      Log On


   

Question 1080844: x+=+2+%2B+3 cos θ , y+=+2 sin θ
Sketch the curve of the parametric equations. Then eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve. Thanks a lot.
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
%28%28x-2%29%2F3%29%5E2 + %28y%2F2%29%5E2 = 1,   or


%28x-2%29%5E2%2F9 + y%5E2%2F4 = 1.


It is the equation of the ellipse with the center at (2,0). The major axis is horizontal. 

The major semi-axis length is 3, the minor semi-axis length is 2.