Question

True or false?

A rectangular equation that is not a function may be a function in the polar coordinate system.

Answer 1

@Kainui @perl

Answer 2

" r = theta" is a function in the polar coordinate system, but is not a function using rectangular coordinates

Answer 3

so it's false?

Answer 4

@perl

Answer 5

use a simpler case. the polar equation r = 1 is a curve of a circle. this is a function in polar coordinates. it is not a function in rectangular coordinates , since a circle does not pass the vertical line test.
the rectangular equation is x^2 + y^2 = 1

but r = 1 is a function .
so its true, i think

Answer 6

ohhh ok thank you!