How Do You Plot and Find Alternate Polar Coordinates?

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SUMMARY

The discussion focuses on plotting points in polar coordinates and finding alternate representations. The user successfully identifies two pairs of polar coordinates for a given point: (2, 7π/3) with r > 0 and (-2, 4π/3) with r < 0. The calculations involve adding multiples of π to the original angle to derive alternate coordinates. This method effectively demonstrates the relationship between positive and negative radial distances in polar coordinates.

PREREQUISITES
  • Understanding of polar coordinates and their representation
  • Familiarity with trigonometric functions and angles
  • Knowledge of the unit circle and angle measurement in radians
  • Basic skills in plotting points on a polar coordinate system
NEXT STEPS
  • Learn about converting between polar and Cartesian coordinates
  • Explore the concept of periodicity in trigonometric functions
  • Study the graphical representation of polar equations
  • Investigate the implications of negative radius in polar coordinates
USEFUL FOR

Students studying mathematics, particularly in geometry and trigonometry, as well as educators looking for practical examples of 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?
 
Last edited:
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shamieh said:
Plot the point whose polar coordinates are given.
Where are they given?
 

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