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

1 Answer
Feb 11, 2018

The point (-4,-2)(4,2) is sqrt20, 200.67^020,200.670 in polar coordinates.

Explanation:

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

Polar distance is r= sqrt(x^2+y^2) = sqrt 20r=x2+y2=20

Angle tan alpha= y/x=2/4=1/2 ; alpha= tan^-1 (1/2)tanα=yx=24=12;α=tan1(12)or

alpha= tan^-1 (1/2)= 26.57^0α=tan1(12)=26.570 . 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]