Concept explainers
(a)
To find
(a)
Answer to Problem 110E
Explanation of Solution
Using the following facts-
The given complex number is
Its conjugate is
Now,
The multiplication rule for
The rule states that if and
then the product of the two complex numbers will be given by
In other words, the moduli get multiplied and the arguments get added.
Multiplying the moduli and adding the arguments in our expression as follows-
(b)
To find
(b)
Answer to Problem 110E
Explanation of Solution
The value to find is
The
The rule states that if and
then the quotient of the two complex numbers will be given by
In other words, the moduli get divided and the arguments get subtracted.
Dividing the moduli and adding the arguments in our expression as follows-
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