Question

Who to Eliminate the parameter:
X=2+3 sin t
y=-3-3 cos t

Answer 1

`x=2+3\sin t\implies x-2=3\sin t`

`y=-3-3\cos t\implies y+3=-3\cos t`

Recall that
`(\pm a\sin t)^2+(\pm a\cos t)^2=a^2`. This means


`(3\sin t)^2+(-3\cos t)^2=(x-2)^2+(y+3)^2=9`

and so the parameter is eliminated.