Question

What is the distance between the following polar coordinates?: `(3,(pi)/2), (2,(13pi)/12)`

Answer 1

`abs((3,pi/2):(2,(13pi)/12)) =4.9589` (approx.)

Explanation:

Converting the polar coordinates to rectangular form:
(see image to help see the relationship)

`color(red)(Pt_1 =(3,pi/2) rarr (3,0)`

`color(blue)(Pt_2=(2,(13pi)/12) rarr (-2cos(pi/12),-2sin(pi/12))~~(-1.93185,-0.51764))`

`abs(Pt_1:Pt_2) = sqrt((3-(-1.93185))^2+(0-(-0.51764))^2)~~4.9589`