Expressing polar equation as a Cartesian equation

  • Thread starter Bipolarity
  • Start date
  • #1
Bipolarity
775
2

Homework Statement



Express the following equation in Cartesian form
[tex] r = 1 - cos(θ) [/tex]

Homework Equations


[tex] x = r*cos(θ) [/tex]
[tex] y = r*sin(θ) [/tex]
[tex] r^{2} = x^{2} + y^{2} [/tex]
[tex] tan(θ) = \frac{y}{x} [/tex]

The Attempt at a Solution



I have no idea... a hint would be nice thanks!

BiP

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
gabbagabbahey
Homework Helper
Gold Member
5,002
7

Homework Statement



Express the following equation in Cartesian form
[tex] r = 1 - cos(θ) [/tex]

Homework Equations


[tex] x = r*cos(θ) [/tex]
[tex] y = r*sin(θ) [/tex]
[tex] r^{2} = x^{2} + y^{2} [/tex]
[tex] tan(θ) = \frac{y}{x} [/tex]

The Attempt at a Solution



I have no idea... a hint would be nice thanks!

BiP

Homework Statement





Homework Equations





The Attempt at a Solution


If [itex]x=r\cos\theta[/itex], what is [itex]\cos\theta[/itex]? If [itex]x^2+y^2=r^2[/itex], and [itex]r\geq 0[/itex], what is [itex]r[/itex]?
 
  • #3
Bipolarity
775
2
If [itex]x=r\cos\theta[/itex], what is [itex]\cos\theta[/itex]? If [itex]x^2+y^2=r^2[/itex], and [itex]r\geq 0[/itex], what is [itex]r[/itex]?

Thanks!

BiP
 

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