Question

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

Answer 1

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]