Identify any asymptotes of the graphs.
Answer to Problem 74E
Explanation of Solution
Given information:
Use a graphing utility to graph f and g in the same viewing window to verify that the two functions are equal. Explain why they are equal. Identify any asymptotes of the graphs.
Calculation:
Consider the functions
According to the following Inverse Trigonometric Functions
It is know that
Use
Start
This display is as shown below
Press the
As the graph of
Explanation of equality of the function
Consider the figure made with reference to (1)
In triangle
That is
In the above figure,
Put
Using properties of inverse trigonometric functions
And this is equal to (2) Hence verified that function
In (2) since the denominator of the function
That is
Hence, the line
Chapter 4 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