Convert to cartesian the following polar equation:
r = asec(θ)
If you can solve this, could you also explain your answer to me?

Convert to cartesian the following polar equation:
r = asec(θ)
If you can solve this, could you also explain your answer to me?
I wonder why?
I tried using my knowledge of cartesian equations (which is high school level) but I know nothing of polar equations, so I believe the problem is there.
Can give you hints though, what is the relationship between x, y, r and theta? And how would you write sec as a relationship using cos or sin.
That helped, but not enough. I'll have to find other texts on polar equations. I know r² = x² + y², but I can't see the bigger picture with what was presented to me (a single book)
Updating on the situation, I found out that x = rcosθ and y = rsenθ; and that secθ= 1/cosθ. But this was still not enough to find my answer. I also read on the Homework topic that updating on my situation was a good thing to do; so, that's what I'm doing.
You pretty much have all the parts you need now, r = a/cos(theta) is the same as r*cos(theta) = a. Do we have a different label for r*cos(theta)?
Use r=sqrt(x^2+y^2) and cos(theta)=x/sqrt(x^2+y^2).
@mathman you can use LaTeX to write those equations in here. @river_rat I'll try now, even though I still don't have an answer for y. Gonna find it, hopefully.
I have r = xsecθ, but this still isn't a cartesian equation. Any ideas of how to find y? Thank you for your help. I tried liking your post but it won't let me.
@arcosseno I am thinking on what you would do if you were asked something about toroidal and spherical coordinates...
@river_rat coordinates always (x,0)? I mean, even if it could be drawn that way, r is still xsecθ, secθ would probably define a y.
@unknown_artist I don't know yet
You said the function would be a vertical line through a, right? but there is a secθ in the way of that.
Start with . Substitute the expressions I previously posted and get or .
You think the answer is ?
is the answer.
If then y = what? The Question stands.
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