Question

Find all polar coordinates of point P where P = ordered pair 5 comma pi divided by 3.
@satellite73

Answer 1

yay c: this ones really complicated!

Answer 2

same as before
locate \(\frac{\pi}{3}\) on the unit circle

Answer 3

let me know when you see the coordinates, and we can finish in a second

Answer 4

60degrees 1/2, sqrt{3}/2

Answer 5

right

Answer 6

the computer codes dont like me i guess .-.

Answer 7

ignore the degrees, they have nothing to do with the problem
now you have \(x=5\times \frac{1}{2}=\frac{5}{2}\)

Answer 8

and \(y=5\times \frac{\sqrt3}{2}=\frac{5\sqrt3}{2}\)

Answer 9

that is all

Answer 10

what "computer codes"?

Answer 11

.-. the sqrt{ } its suppose to make a squareroot sigh with out having to go under equation and everyting

Answer 12

and if thats all then pick an answer cuz that isnt one of them....
(5, pi divided by 3 + nπ) or (-5, pi divided by 3 + nπ)

(5, pi divided by 3 + (2n + 1)π) or (-5, pi divided by 3 + 2nπ)

(5, pi divided by 3 + 2nπ) or (-5, pi divided by 3 + (2n + 1)π)

(5, pi divided by 3 + 2nπ) or (-5, pi divided by 3 + 2nπ)

Answer 13

ooh sorry, it said "find all" not "convert to rectangular" no problem

Answer 14

lol thats why i said its so complicated in the beginning XD

Answer 15

sorry

Answer 16

let me look at the answers

Answer 17

okay c:

Answer 18

sine and cosine are periodic with period \(2\pi\) so one answer would be \[(5, \frac{\pi}{3}+2n\pi)\]

Answer 19

then next part is a little hard for me to explain here
but \(-5\) means go you off in the opposite direction, so you would have to add \(\pi\) to the angle to switch is back
the other one will be \[(-5,\frac{\pi}{3}+(2n+1)\pi)\]

Answer 20

that wasn't really english was it? well just go with C (it is always C)

Answer 21

@ApollosChariot can you explain the last bit please

Answer 22

@precal