Thread: Parametric equations on a deadline

Hi. For these two sets of parametric equations, I need to describe the type of curve, starting point of particle, direction of motion, and behavior of particle.

x=(sint)^2
y=(cost)^2
0 less than or equal to t less than or equal to 2

(This isn't a circle, right? because x^2+y^2 does not equal 1)??

x=(1-t^2)+(1+t^2)
y=2t/(1+t^2)

Originally Posted by riverjib

Hi. For these two sets of parametric equations, I need to describe the type of curve, starting point of particle, direction of motion, and behavior of particle.

x=(sint)^2
y=(cost)^2
0 less than or equal to t less than or equal to 2

(This isn't a circle, right? because x^2+y^2 does not equal 1)??

Correct.
Note that,
y=cos^2 t=1-sin^2 t=1-x
Thus,
x+y=1
That is a line.

x=(1-t^2)+(1+t^2)
y=2t/(1+t^2)

It was already explained in other thread.