Concept explainers
To calculate: The value of trigonometric expression
Answer to Problem 4E
The value of trigonometric expression
Explanation of Solution
Given information:
The trigonometric expression
Formula used:
Inverse tangent trigonometric function is expressed as
Calculation:
Consider trigonometric expression
Inverse trigonometric function and trigonometric function cancel out each other.
Therefore,
Thus, the value of trigonometric expression
To calculate: The value of trigonometric expression
Answer to Problem 4E
The value of trigonometric expression
Explanation of Solution
Given information:
The trigonometric expression
Formula used:
Inverse sine trigonometric function is expressed as
Calculation:
Consider trigonometric expression
Let
Recall that
Construct a right angle triangle with perpendicular p as 1 and hypotenuse h as 2.
Since,
So, baseb of triangle is
Recall that trigonometric cosine function is expressed as
The expression is reduced to,
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