Eliminate Parametric to Derive x and y in tan(t)+sec(t) and tan(t)-sec(t)

[BoldKnight399]

x=tan(t)+sec(t) and y=tan(t)-sec(t)

I have to take the derivative, but it specifically states that I must eliminate the Parametric to do so (I think as a way to check we can do this...oops)

I was thinking that I could turn the x into:
x=sint+1/cost and then I could go from there, the only problem is that I have no idea where to go.

If anyone has any ideas that would help me get this into a trig identity so I can solve for t, I would love it!

 

[Mark44]

xy = ?
It's also helpful to know a few trig identities involving secant and tangent.

 

[BoldKnight399]

you can do that?

 

[Mark44]

Sure, why not?

 

[BoldKnight399]

hmmm

good call. Thank you soooooooo much!