contestada

convert the polar representation of this complex number into its standard form z=4(cos150+isin150).
Answer Choices:
A) (-2, 2√3)
B) (-2√3, 2)
C) (-2√3, -2)
D) (-4, 4√3)

Respuesta :

Answer:

B

Step-by-step explanation:

Using the exact values

cos150° = - cos30° = - [tex]\frac{\sqrt{3} }{2}[/tex]

sin150° = sin30° = [tex]\frac{1}{2}[/tex]

Given

z = 4(cos150° + isin150° ) , substitute values

  = 4(- [tex]\frac{\sqrt{3} }{2}[/tex] +  [tex]\frac{1}{2}[/tex]i )

  = - 2[tex]\sqrt{3}[/tex] + 2i , that is

(- 2[tex]\sqrt{3}[/tex], 2 ) → B

Otras preguntas