I need help!! I am given the polar coordinate (-2, -pi/3) and have to give two other polar coordinate representations of the point, one with r0

Question

I need help!!
I am given the polar coordinate (-2, -pi/3) and have to give two other polar coordinate representations of the point, one with r<0 and the other with r>0

tkhunny · Answer

Any trouble with finding -pi/3?

What angle measure is that?
Add 2pi and what is this same angle called?

anonymous · Answer

-pi/3=60 degrree

anonymous · Answer

plus 2pi is 60 degree

tkhunny · Answer

No good.  -pi/3 is -60º.

anonymous · Answer

oops yea but when u add 2pi isnt it 60 degrees

tkhunny · Answer

Nope.  Still -60º OR +300º

Okay, so -pi/3 is down in Quadrant IV, right?

anonymous · Answer

why is it stil -60???

anonymous · Answer

and yes

tkhunny · Answer

2pi is ALL THE WAY around.  You end up back where you start.

tkhunny · Answer

Trick Question.  -pi/3 is in Quadrant IV only if your magnitude is positive.  If your magnitude is negative, you go the other direction.

(-2,-pi/3) = (-2,5pi/3) = (2,2pi/3)

Ponder that last one until yousee it.

anonymous · Answer

i dont get y u did that!?!?!

tkhunny · Answer

I did what the problem statement wanted.  "...give two other polar coordinate representations of the point, one with r<0 and the other with r>0"