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

1 Answer

Nov 9, 2016

#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#

enter image source here

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