Cartesion Equation/Parametrics ----HELP Needed?!?!?!?

[un]

The position vector of a particle at any time t is given by the equation:

r(t)= (2cos(t)+3)i +(3sin(t)+5)j

Find the Cartesian Equation of the path of the particle.

Thanks Guys

[cara.mel]

x = 2 cos t + 3
y = 3 sin t + 5

Equation that links them together:
sin^2 t + cos^2 t = 1

cos t = (x-3)/2
sin t = (y-5)/3

=> ((x-3)/2)^2 + ((y-5)/3)^2 = 1
(x-3)^2/4 + (y-5)^2/9 = 1

[Collin Li]

The position vector of a particle at any time t is given by the equation:

r(t)= (2cos(t)+3)i +(3sin(t)+5)j

Find the Cartesian Equation of the path of the particle.

Thanks Guys

x = 2cost + 3 => (x-3)/2 = cost
y = 3sint + 5 => (y-5)/3 = sint

sin^2[t] + cos^2[t] = 1
=> (x-3)^2/4 + (y-5)^2/9 = 1

[Collin Li]

Ouch, I don't know how close that was...

[cara.mel]

It was within a few seconds I think