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

Answer 1

Christopher Agresta

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]

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Answer 2

Adam Adkins

The distance between the polar coordinates ( (8, -\frac{7\pi}{12}) ) and ( (5, -\frac{3\pi}{8}) ) is approximately ( 5.773 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.