Plato Question!!!!Type the correct answer in each box.What is a polar form of (-1, √3 ) is ( _ , _ ) ?

Answer:(2, 120° )Step-by-step explanation:To convert from rectangular to polar form, that is(x, y) → (r, Θ ), user = [tex]\sqrt{x^2+y^2}[/tex]Θ = [tex]tan^{-1}[/tex]( [tex]\frac{y}{x}[/tex]) here (x, y ) = (- 1, [tex]\sqrt{3}[/tex])r = [tex]\sqrt{(-1)^2+(\sqrt{3} }[/tex] )^2   = [tex]\sqrt{1+3}[/tex] = [tex]\sqrt{4}[/tex] = 2Θ = [tex]tan^{-1}[/tex]([tex]\sqrt{3}[/tex]) = 60° ← related acute angleNote (- 1, [tex]\sqrt{3}[/tex]) is in the second quadrant so Θ must be in the second quadrant.Θ = 180° - 60° = 120°(- 1, [tex]\sqrt{3}[/tex]) → (2, 120°)