What is the distance between the following polar coordinates?: # (8,(-7pi)/12), (5,(-3pi)/8) #

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Answer 1 · 2018-05-30T12:56:43

Distance between points is #5.05 # unit.

Polar coordinates of point A is #r_1= 8 ,theta_1=-(7 pi)/12#

Polar coordinates of point B is #r_2=5, theta_2=-(3 pi) /8#

Distance between points #A and B# is

#D= sqrt(r_1^2+r_2^2-2r_1r_2cos(theta1-theta2)# or

# D = sqrt((64+25-80*cos (- (7pi)/12-(-3pi)/8))) ~~ 5.05 # unit

Distance between points is #5.05 # unit [Ans]