Simple polar to cartesian conversion

In summary, a simple polar to cartesian conversion is a mathematical process that transforms coordinates from a polar coordinate system to a cartesian coordinate system. Polar coordinates are a way of representing points in a two-dimensional plane using a distance (r) from the origin and an angle (θ) from a reference line. Cartesian coordinates are a way of representing points in a two-dimensional plane using horizontal (x) and vertical (y) distances from a fixed point called the origin. To convert from polar to cartesian coordinates, you can use the formulas x = r * cos(θ) and y = r * sin(θ), where r is the distance from the origin and θ is the angle from the reference line. This conversion is useful for plotting and analyzing
  • #1
9
0
Find a Cartesian equation for the curve.
[tex]18=rcos \theta[/tex]

[tex]\frac{\ 18}{cos \theta}= \sqrt{x^2+y^2}[/tex]

how do I get rid of the cosine?
 
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  • #2
Don't divide by it! What is [itex]r cos(\theta)[/itex] in terms of x and y coordinates? In other words, x= ? , y= ? in polar coordinates.
 
  • #3
x=18 is the solution. I can't believe it.
 

What is a simple polar to cartesian conversion?

A simple polar to cartesian conversion is a mathematical process that transforms coordinates from a polar coordinate system to a cartesian coordinate system.

What are polar coordinates?

Polar coordinates are a way of representing points in a two-dimensional plane using a distance (r) from the origin and an angle (θ) from a reference line.

What are cartesian coordinates?

Cartesian coordinates are a way of representing points in a two-dimensional plane using horizontal (x) and vertical (y) distances from a fixed point called the origin.

How do you convert from polar to cartesian coordinates?

To convert from polar to cartesian coordinates, you can use the following formulas:

  • x = r * cos(θ)
  • y = r * sin(θ)

Where r is the distance from the origin and θ is the angle from the reference line.

Why is polar to cartesian conversion useful?

Polar to cartesian conversion is useful because it allows us to easily plot and analyze data that is given in polar coordinates. It also allows us to easily transform and manipulate coordinates to solve mathematical problems.

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