SOLUTION: Find the rectangular equation of the curve given by the parametric equations below. Then graph the curve and show its orientation. x= 5 cos t, y = -3 sin t, 0 <=

Algebra ->  Trigonometry-basics -> SOLUTION: Find the rectangular equation of the curve given by the parametric equations below. Then graph the curve and show its orientation. x= 5 cos t, y = -3 sin t, 0 <=       Log On


   



Question 1074728: Find the rectangular equation of the curve given by the parametric equations below.
Then graph the curve and show its orientation.
x= 5 cos t, y = -3 sin t, 0 <= t <= 2 pi
Rectangular equation: y =
Draw the Graph

Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
Rectangular equation is 

x%5E2%2F5%5E2+%2B+y%5E2%2F3%5E2 = 1.

Ellipse with the center at the origin, (x,y) = (0,0).



Ellipse x%5E2%2F5%5E2+%2B+y%5E2%2F3%5E2 = 1.

y = + 3%2Asqrt%281-%28x%2F5%29%5E2%29 and y = - 3%2Asqrt%281-%28x%2F5%29%5E2%29.