What is the distance between the following polar coordinates?: # (2,(3pi)/2), (-2,pi/2) #

1 Answer
Apr 14, 2017

distance #= 0#

Explanation:

#(2, (3pi)/2)# is located at a distance of #2# from #(0,0)# at the angle #(3pi)/2 = 270^@# counter-clockwise from the #x#-axis.

#(2, pi/2)# is located at a distance of #2# from #(0,0)# at an angle of #pi/2 = 90^@#. The #-2# means #180^@# from the location #(2, pi/2)#.
#180^@# from #90^@ = 270^@ = (3pi)/2 #

This means #(-2, pi/2) = (2, (3pi)/2)#

The distance would #= 0# because they are the same point.