# Thread: finding where the two functions intersect

1. ## finding where the two functions intersect

im trying to find the tangets of the lines

x=2sin2t
and
y=3sint

before i can do that i need to find where they intersect. how do i find the intersection points? im lost

2. sorry its where the curve crosses itslef.

3. Originally Posted by johnnyc418
im trying to find the tangets of the lines

x=2sin2t
and
y=3sint

before i can do that i need to find where they intersect. how do i find the intersection points? im lost
understand what you have is a single parametric curve called a lemniscate ... and it intersects itself at the origin.

4. thank you

what if its something like

x=t²-t
and
y=t³-3t-1

5. Originally Posted by johnnyc418
thank you

what if its something like

x=t²-t
and
y=t³-3t-1
this parametric curve never intersects itself.