To identify: The trigonometric form of the
Answer to Problem 21E
Explanation of Solution
Given information:
The complex number
Concept Involved:
The general complex number is the form of
Here x is a real number and y is a complex number.
Use the concept of De Moivre’s theorem to change the given number in the trigonometric form such that,
Sketch the complex number
Consider
On comparing both sides,
On squaring and adding above both equations,
Since,
Then,
And
Therefore,
Conclusion:
The trigonometric form of the complex number
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