MHB How Do You Plot and Find Alternate Polar Coordinates?

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To plot a point with given polar coordinates, one must identify the original coordinates and then derive alternate pairs. For the point with polar coordinates (2, π/3), an alternate pair with r > 0 can be (2, 7π/3) and with r < 0 can be (-2, 4π/3). The calculations involve adding 2π for positive r and π for negative r to the angle. The discussion emphasizes the importance of understanding how to manipulate polar coordinates effectively. This method allows for multiple representations of the same point in polar coordinates.
shamieh
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Plot the point whose polar coordinates are given. Then find two other pairs of polar coordinates of this point, one with r > 0 and one with r < 0

so I did $$\frac{\pi}{3} + 2\pi = \frac{7\pi}{3} \therefore$$ $$r > 0$$
and did $$\frac{\pi}{3} + \pi = - \frac{4}{3} \pi$$ $$\therefore$$ $$r < 0$$

so i have (2,7pi/3) & (-2, 4pi/3)

Will that work?
 
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shamieh said:
Plot the point whose polar coordinates are given.
Where are they given?
 
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