Question

eliminate the parameter t. find a rectangular equation for the plane cure defined by the parametric equations.
x = 6 cos t
y = 6 sin t
0<= t <=2n

Answer 1

do you know what
\[(\cos(t), sin(t))\] looks like?

Answer 2

yeah

Answer 3

they are points on the unit circle
you have points on the circle with radius 6

Answer 4

okay I just didn't know if it would be x^2 - y^2 = 6 or x^2 + y^2 = 6

Answer 5

it is neither

Answer 6

oh so you have to square the 6 which would be 36 right

Answer 7

yes

Answer 8

so then would it be add or subtract

Answer 9

if you square and add you get
\[x^2+y^2=36\cos^2(t)+36\sin^2(t)=36(\cos^2(t)+\sin^2(t))=36\]

so it is \(x^2+y^2=36\)

Answer 10

thank you