Concept explainers
(a)
To evaluate: The period and the graph of the function for
(a)
Answer to Problem 8T
The period of the function
Explanation of Solution
Given:
The given trigonometric function is,
Calculation:
The general equation of cosecant function is,
The period of the cosecant function is,
The given cosecant function is,
Compare equation (1) and (3).
Substitute 2 for k in equation (3),
Hence, the period of the function
(b)
To sketch: The graph for the function
(b)
Explanation of Solution
The interval on which the graphs complete one period is
The graph of the function
Figure (1)
The Figure (1) shows the graph of one complete period of
Chapter 5 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