Question

Decide if the points given in polar coordinates are the same. If so, enter T. If not, enter F.
(8, pi/3), (-8, -pi/3)
(2, 59pi/4), (2, -59pi/4)
(0, 8pi), (0, 7pi/4)
(1, 133pi/4), (-1, pi/4)
(15, 50pi/3), (-15, -pi/3)
(8, 8pi), (-8, 8pi)

Answer 1

when are two polar coordinates equivalent (note that polar representation of a point is not unique)

Answer 2

you can add 2pi to your angle theta and you are back at the same point

( r , theta ) = ( r , theta + 2pi * n )