Concept explainers
To calculate: The value oftheexpression
Answer to Problem 39E
The value of trigonometric expression
Explanation of Solution
Given information:
The expression
Formula used:
Inverse tangent trigonometric function is expressed as
Domain of inversetangent trigonometric function is
Calculation:
Consider the expression
Recall that domain of inversetangent trigonometric function is
Substitute
Recall that the inverse tangent trigonometric function is expressed as
Recall that value of tangent function at an angle
That is,
Take tangent function to the right hand side,
Therefore,
Thus, the value of trigonometric expression
Chapter 3 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced 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