Question

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)

Answer 1

B

Explanation:

Using the exact values

cos150° = - cos30° = -
`(√(3) )/(2)`

sin150° = sin30° =
`(1)/(2)`

Given

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

= 4(-
`(√(3) )/(2)` +
`(1)/(2)`i )

= - 2
`√(3)` + 2i , that is

(- 2
`√(3)`, 2 ) → B