Question

Find all polar coordinates of point P = (6, 31°).

Answer 1

\[(r,\theta)\]

Answer 2

I got
(6,(31pi/180)+2 n pi)
(-6,(31pi/180)+2 n pi)

am i correct?

Answer 3

is n any integer?

Answer 4

theta

Answer 5

?

Answer 6

the +2n pi

Answer 7

is n any integer?

Answer 8

no

Answer 9

P = (6, 31°). <---- that looks like a polar coordinate already

Answer 10

Yeah, they are already in polar coordinates.

Answer 11

ya but it wants you to find all

Answer 12

so im guessing that is just the reference angle

Answer 13

yep ^

Answer 14

then -> (6,(31pi/180)+2 n pi)
(-6,(31pi/180)+2 n pi) \(\Large \checkmark\)

Answer 15

Did I do right by doing
(6,(31pi/180)+2 n pi)
(-6,(31pi/180)+2 n pi)

the polar coordinate theta i turned it into (31pi/180)

Answer 16

the 2 n pi signfies it going around yea?

Answer 17

its n times 360 degrees or 2 pi ya

Answer 18

n = pi

Answer 19

right... but I gather you may also want to clarify that say \(n \in \mathbb{Z}\)

Answer 20

ohhh alright

Answer 21

thank you guys ^^

Answer 22

2pi^2?

Answer 23

yw