Find all of the indicated roots. Write all answers in standard form. Round approximate constants to the nearest thousandth. the four fourth roots of -256 Step 1 Write -256 in trigonometric form. Z = 256 ci I Then by De Moivre's Theorem, the fourth roots of -256 are given by the following. 1/4 Wk = 256- I + 360° cis for k = 0, 1, 2, 3 %3D 4

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°.
Question
Find all of the indicated roots. Write all answers in standard form. Round approximate constants to the nearest
thousandth.
the four fourth roots of -256
Step 1
Write -256 in trigonometric form.
Z = 256 ci I
Then by De Moivre's Theorem, the fourth roots of -256 are given by the following.
1/4
Wk = 256-
I + 360°
cis
for k = 0, 1, 2, 3
%3D
4
Transcribed Image Text:Find all of the indicated roots. Write all answers in standard form. Round approximate constants to the nearest thousandth. the four fourth roots of -256 Step 1 Write -256 in trigonometric form. Z = 256 ci I Then by De Moivre's Theorem, the fourth roots of -256 are given by the following. 1/4 Wk = 256- I + 360° cis for k = 0, 1, 2, 3 %3D 4
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

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
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning