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What is the polar form of #( -4,-2 )#?

1 Answer

Feb 11, 2018

The point #(-4,-2)# is #sqrt20, 200.67^0# in polar coordinates.

Explanation:

Cartesian coordinates#(x=-4, y=-2)# (3rd quadrant)#

Polar distance is #r= sqrt(x^2+y^2) = sqrt 20#

Angle #tan alpha= y/x=2/4=1/2 ; alpha= tan^-1 (1/2)#or

# alpha= tan^-1 (1/2)= 26.57^0# . The point lies on

3rd quadrant. #:. theta= 180+alpha= 180+26.57=206.67^0#

Polar coordinate is #(r,theta) or (sqrt20, 200.67^0)# [Ans]

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