How Do You Plot and Find Alternate Polar Coordinates?

In summary, polar coordinates are a way of representing points in a two-dimensional space using a distance from the origin and an angle from a reference direction. To plot polar coordinates, you locate the origin and use the radius and angle to determine the position. The main difference between polar and Cartesian coordinates is the representation of points, with polar coordinates using distance and angle while Cartesian coordinates use x and y coordinates. To convert polar coordinates to Cartesian coordinates, you can use specific formulas. Some common applications of polar coordinates include physics, engineering, navigation, and astronomy.
  • #1
shamieh
539
0
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 \(\displaystyle \frac{\pi}{3} + 2\pi = \frac{7\pi}{3} \therefore\) \(\displaystyle r > 0\)
and did \(\displaystyle \frac{\pi}{3} + \pi = - \frac{4}{3} \pi\) \(\displaystyle \therefore\) \(\displaystyle r < 0\)

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

Will that work?
 
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  • #2
shamieh said:
Plot the point whose polar coordinates are given.
Where are they given?
 

FAQ: How Do You Plot and Find Alternate Polar Coordinates?

What are polar coordinates?

Polar coordinates are a way of representing points in a two-dimensional space using a distance from the origin (called the radius) and an angle from a reference direction (usually the positive x-axis).

How do you plot polar coordinates?

To plot polar coordinates, you first locate the origin (0,0) on your graph. Then, you use the radius to measure the distance from the origin and the angle to determine the direction. You can plot multiple points by repeating this process.

What is the difference between polar and Cartesian coordinates?

Polar coordinates use a distance and angle to represent a point, while Cartesian coordinates use an x-coordinate and a y-coordinate. In polar coordinates, the origin is in the center of the graph, while in Cartesian coordinates, the origin is in the bottom left corner.

How do you convert polar coordinates to Cartesian coordinates?

To convert polar coordinates to Cartesian coordinates, you can use the following formulas:
x = r * cos(theta)
y = r * sin(theta)
where r is the radius and theta is the angle from the positive x-axis.

What are some applications of polar coordinates?

Polar coordinates are commonly used in physics and engineering to describe the position and movement of objects in polar coordinate systems. They are also used in navigation and astronomy to locate objects in the sky using angles and distances.

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