SOLUTION: In the Cartesian system, points (x, y) have a distinct representation. Why isn't this true for a point (r, Θ) in the polar coordinate system? Thanks.

Question 1079962: In the Cartesian system, points (x, y) have a distinct representation. Why isn't this true for a point (r, Θ) in the polar coordinate system? Thanks.
Found 2 solutions by ikleyn, Fombitz:
Answer by ikleyn(52756) (Show Source): You can put this solution on YOUR website!
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What do you mean ??

What do you mean by saying that in the Cartesian system, points (x, y) have a distinct representation ??

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After reading the response by Fombitz I finally understood the meaning of your post.

Surely, your formulation was wrong and reversed/inverted from inside out.

The correct formulation is this:

In the Cartesian system, points (x, y) have a unique presentation. Why isn't this true for a point (r, Θ) in the polar coordinate system?

In this form the question does make sense, while it doesn't make sense in your original formulation.

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Comment from student: Thanks for trying to understand my problem! I'm glad you were able to understand what was meant!
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My response: I was glad to understand too, after reading your formulation which was wrong and reversed/inverted from inside out.

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Because of the cyclical nature of the angular coordinate so a point with an r coordinate of 1 and an angle of 30 degrees shares the same point as an r corrdinate of 1 and an angle of 390 degrees.
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SOLUTION: In the Cartesian system, points (x, y) have a distinct representation. Why isn't this true for a point (r, &#920;) in the polar coordinate system? Thanks.

SOLUTION: In the Cartesian system, points (x, y) have a distinct representation. Why isn't this true for a point (r, Θ) in the polar coordinate system? Thanks.