Question

eliminate the parameter. x = 5 cos t, y = 5 sin t
help please!

Answer 1

which parameter?

Answer 2

@coolkat4
cost=x/5
sint=y/5
sint^2+cost^2=1
(x/5)^2+(y/5)^2=1
x^2+y^2=25

Answer 3

if it means solve for y in terms of x, solve for t in terms of x

Answer 4

okay i understand that. now what exactly is eliminating the parameter mean? is that the x^2+y^2=25

Answer 5

generally, it means creating a: y=______ type setup such that y is a function of x

Answer 6

so after x^2+y^2=25 where do i go from there?

Answer 7

yes here t is the parameter
this the final answer
parameters are eliminated

Answer 8

got it????

Answer 9

kind of..Eliminate the parameter. x = t^2 + 1, y = t^2-1....would the answer be in the same form?

Answer 10

solving t^2 in terms of x, we get t^2 = x-1

sub that into t^2 in the y side and simplify

Answer 11

okay thank you!!

Answer 12

@coolkat4
t^2=x-1
t^2=y+1
implies x-1=y+1
y=x-2