What is the equation for the given curve in polar coordinates?

[SPhy]

Homework Statement

x = e^Kcos(k)
y=e^Ksin(k)

-∞ < K < ∞

Find an equation in polar coordinates for the above curve

The Attempt at a Solution

I am not fully clear as to what the question is asking.

If its asking for (r,k), where K is normally a theta value then it would be (e^k,k)

other than that,

x^2+y^2=e^2k

r^2 = e^2k

r = √e^2k = e^k

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Any help or suggestions would be appreciated!

 

[Mentallic]

r = e^k is the answer you're looking for. It's an equation in polar coordinates and spans the same curve as your original parametric equations.