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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)
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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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, =
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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