!!How do we change this parametric equation to cartesian equation?? (1 Viewer)

[fabl]

r(t) = 2tan(t)i + 2cos^2(t)j
I guess

x(t) = 2tan(t)
and
y(t) =2cos^2(t)


??

 

[InteGrand]

r(t) = 2tan(t)i + 2cos^2(t)j
I guess

x(t) = 2tan(t)
and
y(t) =2cos^2(t)


??

Those are still parametric equations, but they're the right parametric equations.

To eliminate t:



So .

 

[braintic]

Square x, turn tan^2 into sec^2, rearrange to make cos^2 the subject, and you almost have y.