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Mathematics 12 Online
OpenStudy (lovelyharmonics):

polar coordinates

OpenStudy (lovelyharmonics):

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

OpenStudy (anonymous):

(5, pi/3)

OpenStudy (lovelyharmonics):

yeah, thats the problems equation

OpenStudy (lovelyharmonics):

i get that its going to be +-5 but how do you determine what pi/3 goes with?

ganeshie8 (ganeshie8):

adding 360 tot he angle will not change anything, so : \( (5, ~\pi/3 + 2\pi n)\) where \(n = ... -2, -1, 0, 1, 2...\)

ganeshie8 (ganeshie8):

similarly setup another general pair with -5

OpenStudy (lovelyharmonics):

so it will also be (-5, pi/3 + 2pi n)

ganeshie8 (ganeshie8):

not quite, when u take negative radius, u need to add 180 to the angle

ganeshie8 (ganeshie8):

pi/3 + pi = 4pi/3

ganeshie8 (ganeshie8):

so it will also be (-5, 4pi/3 + 2pi n)

OpenStudy (lovelyharmonics):

and if thats not one of my answers and (-5, pi/3 +2pin) is.... then.... that would be the answer :D

ganeshie8 (ganeshie8):

(5, pi/3) can be represented as : ` (5, pi/3 + 2pi n)` or ` (-5, 4pi/3 + 2pi n)`

ganeshie8 (ganeshie8):

No other ways possible in polar

OpenStudy (lovelyharmonics):

yay c: okay thank you ^.^

ganeshie8 (ganeshie8):

-5, pi/3 + 2pi n represents (5, 4pi/3) it does not represent (5, pi/3)

ganeshie8 (ganeshie8):

u may be having below in ur options : \( \left(5,~ \dfrac{\pi}{3} + 2 n\pi\right)\) \( \left(-5, ~\dfrac{\pi}{3} + (2n+1)\pi\right) \) ?

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