Question

Find all polar coordinates of point P where

P= -pi/6.

Answer 1

wait wait

Answer 2

P=(1,-pi/6)

Answer 3

Well, I guess you can just keep adding or subtracting \(2\pi\), so maybe: \[
\forall z\in \mathbb Z\quad \left(1,-\frac \pi6+2\pi z \right)
\]

Answer 4

(1, -pi/6 + (2n + 1)π) or (-1, -pi/6 + 2nπ)
(1, -pi/6 + 2nπ) or (-1, -pi/6 + 2nπ)
(1, -pi/6 + 2nπ) or (1, -pi/6+ (2n + 1)π)
(1, -pi/6 + 2nπ) or (-1, -pi/6 + (2n + 1)π)

Answer 5

these are my choices

Answer 6

is it the second one?

Answer 7

@wio

Answer 8

I think it is the last one

Answer 9

Because it seems: \[
\left(-1,-\frac \pi 6+\pi + 2\pi z\right)
\]Are solutions as well, and this simplifies to: \[
\left(-1,-\frac \pi 6+(2 z+1)\pi\right)
\]