Prove the property for all integers
Answer to Problem 40E
Explanation of Solution
Calculation:
Consider the given,
Complex conjugate are a pair of
For
Assuming that
- are complex conjugates.
Now ,
Real part of
Imaginary part of
To prove this,
Real part of
= real part of
Imaginary part of
=- Imaginary part of
= imaginary part of
=- imaginary part of
Now on combining results of both parts we get mathematical induction that
Hence, result is
Chapter 9 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