Concept explainers
To compare and contrast: the given techniques for solving trigonometric equations, and also write about the expected solutions and whether graphing calculator works in a similar manner.
Answer to Problem 4CFU
Similarity: Both techniques involve combining like terms and isolating consonants and variables.
Difference: Linear equation has one solution whereas the quadratic equation have zero, one or two solutions.
The solution obtained by the graphing calculator for solving the trigonometric equations is same for all.
Explanation of Solution
Given information:
Technique for solving trigonometric equations: By solving linear and quadratic equations.
Calculation:
Solving the trigonometric equation by linear and quadratic equations involves combining like terms and isolating consonants and variables to solve for the unknown. The only difference is in the solution to be obtained. Linear equation has one solution whereas the quadratic equation have zero, one or two solutions.
The trigonometric function is periodic and thus the trigonometric equation has infinite solutions.
The solution obtained by the graphing calculator for solving the trigonometric equations is same for all where one can easily find the points of intersection or zeros of the related functions.
Chapter 7 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Precalculus
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
University Calculus: Early Transcendentals (4th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus and Its Applications (11th Edition)
- 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