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Mathematics 11 Online
OpenStudy (anonymous):

Find all polar coordinates of point P = (9, 75°). Could someone please explain this to me?

OpenStudy (anonymous):

@Mertsj

OpenStudy (anonymous):

@Mertsj

OpenStudy (anonymous):

@KingGeorge

OpenStudy (anonymous):

Okay, I got an answer: (9, 75 degrees+n*360 degrees) and (9, 75 degrees+(2n+1)*360 degrees), where "n" is an integer. Am I correct?

OpenStudy (anonymous):

@jim_thompson5910

OpenStudy (anonymous):

@dumbcow

jimthompson5910 (jim_thompson5910):

basically any coterminal angle to 75 degrees will work in place of 75 degrees

OpenStudy (anonymous):

(9, 75 degrees+n*360 degrees) and (9, 75 degrees+(n+1)*360 degrees), where "n" is an integer.

jimthompson5910 (jim_thompson5910):

so (9, 75+360n) works as part of the solution

OpenStudy (anonymous):

Or is it just (9, 75 degrees+n*360 degrees) , where "n" is an integer?

jimthompson5910 (jim_thompson5910):

it turns out that you could have r be negative, and just rotate in the complete opposite direction and still land in the same spot

jimthompson5910 (jim_thompson5910):

if r = -9, then instead of rotating 75 degrees counterclockwise, you are really rotating 75+180 = 255 degrees counterclockwise (and going in reverse to end up pointing in the right direction)

jimthompson5910 (jim_thompson5910):

so (-9, 255+360n) works too

jimthompson5910 (jim_thompson5910):

where n is any integer

OpenStudy (anonymous):

Thank!

jimthompson5910 (jim_thompson5910):

np

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