SOLUTION: Find all polar coordinates of point P where P = ordered pair 7 comma pi divided by 3 . (2 points) (7, pi divided by 3 + 2nπ) or (-7, pi divided by 3 + 2nπ) (7, pi divide

Question 1137403: Find all polar coordinates of point P where P = ordered pair 7 comma pi divided by 3 . (2 points)

(7, pi divided by 3 + 2nπ) or (-7, pi divided by 3 + 2nπ)

(7, pi divided by 3 + 2nπ) or (-7, pi divided by 3 + (2n + 1)π)

(7, pi divided by 3 + (2n + 1)π) or (-7, pi divided by 3 + 2nπ)

(7, pi divided by 3 + nπ) or (-7, pi divided by 3 + nπ)

Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

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:
(7, pi/3+2n(pi))

(2) Opposite (negative) magnitude and an angle that differs from the given angle by an odd multiple of pi:
(-7, pi/3+(2n+1)(pi))

The second answer choice shows those two cases correctly.
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