Find the Cartesian equation for .

[Calpalned]

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.

 

[jedishrfu]

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?

 

[Dick]

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?