Another representation, in polar coordinates, of the point (1,5pi/6) is (____ , 11pi/6).

True or false: The polar coordinates of a point are unique.

True or false: In (r, theta) the value of theta can be negative.

Question

Another representation, in polar coordinates, of the point (1,5pi/6) is (____ , 11pi/6). 

True or false: The polar coordinates of a point are unique. 

True or false: In (r, theta) the value of theta can be negative.

anonymous · Answer

Hey chaise, dont worry about these questions, can you help me with others

chaise · Answer

1. False, 5pi/6  /=/  11pi/6    (angles not equal, therefore different vector, and polar coordinate not unique)
2. In (r, theta) the value can be negative because pi=-pi, but this question is sort of weird. You will only ever measure angles using a negative when your angle is in the 3rd or 4th quadrant, and your angles are in the first and second quadrant, so you wouldn't answer them with a negative answer. I am not sure how to answer this one.

irishboy123 · Answer

i think these questions are exploring the fact that any point in polar space has an infinite number of possible coordinates.  of course the vast, vast majority of those are plain dumb, but they are also accurate descriptions of that point.  r can be negative as well as pos, and theta can be pos orneg and contain all kinds of multiples of 2 pi.