RECTANGULAR equation?

Question

For the parametric equations x= 2 cos t and y = sin t . . . . find the rectangular equation by eliminating the parameter.

PLEASE HELP AND EXPLAIN THIS TO ME, HAVING A HARD TIME, THANKS!!!

Answer 1

Second part of your parametric equation didn't show up.... so I'll explain in general terms.

You have two equations in parametric form.

y=function(t)
x=function(t)

If you want to arrive at a rectangular form of the same equation, you rewrite one of them in terms of T.

for example, you can take the second and say t=something(x)
Then, substitute this to the first one.

y=function(something(x))

Then simplify this as much as you can.

Alternatively, you can do x=function(something y) by doing it exactly backwards. They are both correct.