onsider the following. Sixth roots of 64i (a) Us

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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Consider the following.

Sixth roots of 64i
(a) Use the formula to find the indicated roots of the complex number. (Enter your answers in trigonometric form.)
(c) Write each of the roots in standard form. (Round your answers to four decimal places.)
k = 0:
k = 1:
k = 2:
k = 3:
k = 4:
k = 5:
Transcribed Image Text:(c) Write each of the roots in standard form. (Round your answers to four decimal places.) k = 0: k = 1: k = 2: k = 3: k = 4: k = 5:
For a positive integer n, the complex number z = r(cos 0 + i sin 0) has exactly n distinct nth roots given by
0 + 2ak
0 + 2rk`
Vi(cos
+ i sin
n
n
where k = 0, 1, 2, ... , n – 1.
Consider the following.
Sixth roots of 64i
(a) Use the formula to find the indicated roots of the complex number. (Enter your answers in trigonometric form.)
k = 0:
k = 1:
k = 2:
k = 3:
k = 4:
k = 5:
%3D
Transcribed Image Text:For a positive integer n, the complex number z = r(cos 0 + i sin 0) has exactly n distinct nth roots given by 0 + 2ak 0 + 2rk` Vi(cos + i sin n n where k = 0, 1, 2, ... , n – 1. Consider the following. Sixth roots of 64i (a) Use the formula to find the indicated roots of the complex number. (Enter your answers in trigonometric form.) k = 0: k = 1: k = 2: k = 3: k = 4: k = 5: %3D
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