- #1

- 92

- 8

- Homework Statement:
- The graph of a polar equation is r=f(θ), or more generally F(r,θ) = 0, ...

- Relevant Equations:
- NONE.

What does "F(r,θ) = 0" mean here?

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- Thread starter lightlightsup
- Start date

- #1

- 92

- 8

- Homework Statement:
- The graph of a polar equation is r=f(θ), or more generally F(r,θ) = 0, ...

- Relevant Equations:
- NONE.

What does "F(r,θ) = 0" mean here?

- #2

SammyS

Staff Emeritus

Science Advisor

Homework Helper

Gold Member

- 11,379

- 1,039

The notation, F(r,θ) suggests that F is a function of two variables, or a function of an ordered pair. Likely it maps individual points in a plane each to a real number value. However in the case here, you are only interested in the zeros of F, i.e. you are only interested in those point which get mapped to zero.Homework Statement::The graph of a polar equation is r=f(θ), or more generally F(r,θ) = 0, ...

Relevant Equations::NONE.

What does "F(r,θ) = 0" mean here?

A simple way to get a suitable function F, if you have the function f, is to define F as:

F(r,θ) = r − f(θ)

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