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Find the Cartesian equation for .

  • Thread starter Calpalned
  • Start date
  • #1
297
6

Homework Statement


r = 4sec(θ)

Homework Equations


x2 + y2 = r2
y = rsin(θ)
x = rcos(θ)

The Attempt at a Solution


Given that r = 4sec(θ), I replaced sec(θ) with 1/cos(θ) and got x = 4. The problem is that I'm not sure if that's the final answer because I have been unable to find r, y or θ.
 

Answers and Replies

  • #2
11,516
5,063
Is that the whole problem statement? We can't help if we don't see the complete statement.

Did they expect you plot it or convert it to xy coordinates?

If it's a conversion to xy then whatif you place the secant on the other with the r?
 
  • #3
Dick
Science Advisor
Homework Helper
26,258
618

Homework Statement


r = 4sec(θ)

Homework Equations


x2 + y2 = r2
y = rsin(θ)
x = rcos(θ)

The Attempt at a Solution


Given that r = 4sec(θ), I replaced sec(θ) with 1/cos(θ) and got x = 4. The problem is that I'm not sure if that's the final answer because I have been unable to find r, y or θ.
The cartesian form of r = 4sec(θ) IS x=4. It's a vertical line y can be anything. Why do you think you should be able to find r, y or θ?
 

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