Concept explainers
To find: The coordinates of the point in the rotated
Answer to Problem 5E
The coordinates of the point in the rotated coordinate system is
Explanation of Solution
Given information:
The angle
The coordinate points are
Calculation:
The general second degree equation is,
The above equation is simplified as
On rotating the coordinate axes through an angle
The
The
Substitute the values in equation (1).
Substitute the values in equation (2).
Thus, the coordinates of the point in the rotated coordinate system is
Chapter 10 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