SOLUTION: . Find all polar coordinates of point P where P = ordered pair 5 comma negative pi divided by 6 . (5 points) (5, negative pi divided by 6 + 2nπ) or (-5, negative pi divided b

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Question 1138310: .
Find all polar coordinates of point P where P = ordered pair 5 comma negative pi divided by 6 . (5 points)

(5, negative pi divided by 6 + 2nπ) or (-5, negative pi divided by 6 + 2nπ)

(5, negative pi divided by 6 + 2nπ) or (-5, negative pi divided by 6 + (2n + 1)π)

(5, negative pi divided by 6 + 2nπ) or (5, pi divided by 6 + (2n + 1)π)

(5, negative pi divided by 6 + (2n + 1)π) or (-5, negative pi divided by 6 + 2nπ)
Answer by MathLover1(20849) About Me  (Show Source):
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Find all polar coordinates of point P where P = (5 , -pi+%2F6 ).
There are two sets of possibilities.
(1) Same (positive) magnitude and an angle that is the same as the given angle, or differs from the given angle by an even multiple of pi:
P = (5, -pi%2F6%2B2n%2Api )

(2) Opposite (negative) magnitude and an angle that differs from the given angle by an odd multiple of pi:
(-5, -pi%2F6%2B%282n%2B1%29pi)
answer is: (5,-pi%2F6+%2B+2n%2Api) or (-5, -pi%2F6%2B%282n%2B1%29pi)