finding where the two functions intersect

• May 1st 2010, 08:59 AM
johnnyc418
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
• May 1st 2010, 09:50 AM
johnnyc418
sorry its where the curve crosses itslef.
• May 1st 2010, 10:00 AM
skeeter
Quote:

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.
• May 1st 2010, 11:44 AM
johnnyc418
thank you

what if its something like

x=t²-t
and
y=t³-3t-1
• May 1st 2010, 12:00 PM
skeeter
Quote:

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.