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I have a point \(A\) with polar coordinates \((3, \frac{3\pi}{4})\). What are three other possible polar coordinates \((3, x)\)\((-3, y)\), and \((-3, z)\)?

 Feb 20, 2024
 #1
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Adding \(2\pi\) to the degree will result in the same thing, since radius is not changing so another possible polar coordinate to express \((3, \frac{3\pi}{4})\) is \((3, \frac{11\pi}{4})\).

If we have a negative degree than, it essentially flips the side so:

\((-3, \frac{7\pi}{4})\) and \((-3, \frac{-\pi}{4})\) are all equal. These are our three.

 Feb 20, 2024

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