6. [10] Find all complex cube roots of 27(cos 219° +i sin 219°). Leave your answers in polar form with the argument in degrees. 0 < 0 < 360° NOTE: Let w=r(cos0+ i sin 0) be a complex number, and let n22 be an integer. If w # 0, there are n distinct complex nth roots of w, given by the formula 0 360°k 0 360°k +isin] -+ where k = 0,1,2,...,n – 1. Z, = cos
6. [10] Find all complex cube roots of 27(cos 219° +i sin 219°). Leave your answers in polar form with the argument in degrees. 0 < 0 < 360° NOTE: Let w=r(cos0+ i sin 0) be a complex number, and let n22 be an integer. If w # 0, there are n distinct complex nth roots of w, given by the formula 0 360°k 0 360°k +isin] -+ where k = 0,1,2,...,n – 1. Z, = cos
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Question
![6. [10] Find all complex cube roots of 27(cos 219° +i sin 219°). Leave your answers in polar form with
the argument in degrees. 0<0<360° NOTE: Let w=r(cos 0+isin 0) be a complex number, and let
n22 be an integer. If w # 0, there are n distinct complex nth roots of w, given by the formula
0 360°k
+
360°k
z, =
cos
+isin
where k = 0,1,2,...,n –1.
n
n
n
n
Z, =
z, =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1785911a-9fcd-4f6a-bc2f-98783066f249%2F32ea6c5c-fb2f-4481-a6e9-d74931853920%2Fckpvwbm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. [10] Find all complex cube roots of 27(cos 219° +i sin 219°). Leave your answers in polar form with
the argument in degrees. 0<0<360° NOTE: Let w=r(cos 0+isin 0) be a complex number, and let
n22 be an integer. If w # 0, there are n distinct complex nth roots of w, given by the formula
0 360°k
+
360°k
z, =
cos
+isin
where k = 0,1,2,...,n –1.
n
n
n
n
Z, =
z, =
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