Homework Help is Here – Start Your Trial Now!
Math
Trigonometry
onsider the following. Sixth roots of 64i (a) Us

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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 35E
See similar textbooks
icon
Related questions
Question
100%

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
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Roots
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS