To explain: The difference between an equation and an identity.
Answer to Problem 2RCC
The equation is true for particular values of the variables and an identity is true for all values.
Explanation of Solution
Given information:
The identity is reciprocal.
Calculation:
An equation is a mathematical statement showing that two expressions have equal value. In an identity, the expressions on each side of an equation always take the same value, whatever numbers are substituted for the letters; the expressions are said to be identically equal.
In other words, the equation is true for particular values of the variable (or variables). But an identity is true for all values.
Therefore, the equation is true for particular values of the variables and an identity is true for all values.
Chapter 7 Solutions
Precalculus: Mathematics for Calculus - 6th 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