Concept explainers
a.
The roots in the trigonometric form by using the graph of the roots of the
a.
Answer to Problem 147RE
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
Now, write the roots:
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 147RE
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