Question

Plato Question!!!!

Answer 1

Answer:

(2, 120° )

Step-by-step explanation:

To convert from rectangular to polar form, that is

(x, y) → (r, Θ ), use

r = $\sqrt{x^2+y^2}$

Θ = $tan^{-1}$( $\frac{y}{x}$)

here (x, y ) = (- 1, $\sqrt{3}$)

r = $\sqrt{(-1)^2+(\sqrt{3} }$ )^2

  = $\sqrt{1+3}$ = $\sqrt{4}$ = 2

Θ = $tan^{-1}$($\sqrt{3}$) = 60° ← related acute angle

Note (- 1, $\sqrt{3}$) is in the second quadrant so Θ must be in the second quadrant.

Θ = 180° - 60° = 120°

(- 1, $\sqrt{3}$) → (2, 120°)

Answer 2

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The polar form of a Cartesian coordinates is given by (r, @) where r = √x^2 + y^2

@ = tan^-1 y/x

r = √-1^2 + √3^2

r = √4

r= 2

@ = tan ^-1 √3/-1 -tan √3/1 = -60°

@ = 180-60 = 120°