The discussion focuses on converting the polar equation r = 1 - cos(θ) into Cartesian form. Key equations utilized include x = r*cos(θ), y = r*sin(θ), and r² = x² + y². The participants express confusion regarding the conversion process, indicating a need for clarification on the relationships between polar and Cartesian coordinates. The solution involves substituting the polar equations into the Cartesian framework to derive the final expression.
PREREQUISITESStudents studying mathematics, particularly those focusing on calculus or analytical geometry, as well as educators seeking to clarify the conversion between polar and Cartesian coordinates.
Bipolarity said: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
gabbagabbahey said: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]?