Asked by Brian
Every point in the plane has exactly two polar coordinates.
A)The statement is true because every point in the plane has a unique polar representation.
B)The statement is false because left parenthesis r comma theta right parenthesis equals left parenthesis r comma theta plus 2 n pi right parenthesis(r,θ)=(r,θ+2nπ) for any integer n. These are all distinct polar coordinates.
C)The statement is false because left parenthesis r comma theta right parenthesis equals left parenthesis r comma theta plus n pi right parenthesis(r,θ)=(r,θ+nπ) for any integer n. These are all distinct polar coordinates.
D)The statement is false because left parenthesis r comma theta right parenthesis equals left parenthesis r comma 2 n pi theta right parenthesis(r,θ)=(r,2nπθ) for any integer n. These are all distinct polar coordinates.
A)The statement is true because every point in the plane has a unique polar representation.
B)The statement is false because left parenthesis r comma theta right parenthesis equals left parenthesis r comma theta plus 2 n pi right parenthesis(r,θ)=(r,θ+2nπ) for any integer n. These are all distinct polar coordinates.
C)The statement is false because left parenthesis r comma theta right parenthesis equals left parenthesis r comma theta plus n pi right parenthesis(r,θ)=(r,θ+nπ) for any integer n. These are all distinct polar coordinates.
D)The statement is false because left parenthesis r comma theta right parenthesis equals left parenthesis r comma 2 n pi theta right parenthesis(r,θ)=(r,2nπθ) for any integer n. These are all distinct polar coordinates.
Answers
Answered by
Steve
well, every 2pi brings theta back to the same point, so ...
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.