Question

find all polar coordinates of point p where p = (9, -pi/5)

Answer 1

i thought we did this one?

Answer 2

i know but it wasnt right

Answer 3

they are asking for two

Answer 4

you can add any multiple of \(2\pi\) to the angle

Answer 5

for example

Answer 6

it says "all"

Answer 7

(9, (9, -pi/5) + 2nπ) or (9, -(9, -pi/5) + (2n + 1)π)

Answer 8

i guess you could also say
\[(-9,\frac{4\pi}{5})\]

Answer 9

This is one of the answers (9, (9, -pi/5) + 2nπ) or (9, -(9, -pi/5) + (2n + 1)π)

Answer 10

i am afraid i don't understand what that is supposed to mean

Answer 11

These are the list of answers to the question

(9, -pi/5 + 2nπ) or (-9, pi/5 + 2nπ)

(9, -pi/5 alt tag: negative pi divided by 5 + (2n + 1)π) or (-9, pi/5 + 2nπ)

(9, -pi/5 + 2nπ) or (-9, pi/5 + (2n + 1)π)

(9, -pi/5 + 2nπ) or (9, pi/5 + (2n + 1)π)

Answer 12

@phi can u help me

Answer 13

ahh this makes more sense
this one
(9, -pi/5 + 2nπ) works for sure

Answer 14

their asking for the answer to be in a pair

Answer 15

I think its this one (9, -pi/5 + 2nπ) or (9, pi/5 + (2n + 1)π)

Answer 16

yes that one is it
kind of a weird way to write it

Answer 17

i know but thx

Answer 18

oh wait, let me check

Answer 19

starting with (9, -pi/5) you have
(9, -pi/5 + 2 n pi)
(-9, -pi/5 + pi + 2 n pi) or (-9, -pi/5 - pi + 2 n pi)
(if you change 9 to -9 and add (or subtract) pi to the angle, you are back where you started)

simplifying
(-9, -pi/5 + pi + 2 n pi) you get (-9, -pi/5 + (2n+1) pi )

simplifying
(-9, -pi/5 - pi + 2 n pi) you get (-9, -pi/5 + (2n-1) pi )

I think you want
(9, -pi/5 + 2nπ) or (-9, -pi/5 + (2n + 1)π)

but I can't tell if that is one of your choices.