Concept explainers
a.
The roots in the trigonometric form by using the graph of the roots of the
a.
Answer to Problem 148RE
Explanation of Solution
Given information:
Write each of the roots in trigonometric form.
Calculation:
From the given information, write each of the roots in trigonometric form using the graph of roots are as shown below:
Let’s note the roots:
From the given graph, there are three roots, then they are:
Starting from the
Thus, the roots in trigonometric forms are
b.
The complex number by using roots. Verify the results by using graphing utility.
b.
Answer to Problem 148RE
Explanation of Solution
Given information:
Identify the complex number whose roots are given.Use a graphing utility to verify your results.
Calculation:
From the given information, identify the complex number whose roots are given and by using graphing utility verify the result are as shown below:
From the part (a) found the roots:
These equations verify the equation:
Now find
To find
Thus, the complex number is
Chapter 6 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning