Posted by Paige on Monday, April 18, 2011 at 1:24pm.
Find a Cartesian equation for the polar curve y = 5tan(theta)sec(theta). I think I got it but I just wanted to double check. Thanks in advance!

Calc 2  MathMate, Monday, April 18, 2011 at 1:29pm
Would you like to post your answer if you just wanted to check?

Calc 2  Mgraph, Monday, April 18, 2011 at 1:38pm
y=... or r=...?

Calc 2  MathMate, Monday, April 18, 2011 at 1:52pm
It would be in the form:
x=f(θ),
y=g(θ)
where f and g are functions of θ.

Calc 2  Mgraph, Monday, April 18, 2011 at 2:13pm
Read the terms of your problem!

Calc 2  Mgraph, Monday, April 18, 2011 at 2:26pm
If r=tan(theta)sec(theta)
then r(cos(theta)^2)=sin(theta)
(r*cos(theta))^2=r*sin(theta)
x^2 = y

Calc 2  Paige, Monday, April 18, 2011 at 2:57pm
I am sorry, it is r = 5tan(theta)sec(theta)

Calc 2  Paige, Monday, April 18, 2011 at 3:03pm
Mggraph: but (r*cos(theta))^2 is not x^2, is it? I thought rcos(theta) = x^2
This is what I got:
1 = 5y/[(x^2)(square root of(x^2 + y^2))]

Calc 2  Mgraph, Monday, April 18, 2011 at 3:08pm
Then all right sides multiply by 5:
x^2=5y or
y=0.2x^2

Calc 2  Paige, Monday, April 18, 2011 at 3:48pm
Aha I got it! Thanks so much! :)

Calc 2  VĂctor, Monday, April 6, 2015 at 3:45am
if I've this equation: r=sec theta tan theta. How is?
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