Concept explainers
To find: To find an exact value of inverse trigonometric expression
Answer to Problem 30E
The exact value of inverse trigonometric expression
Explanation of Solution
Given information:
The mentioned inverse trigonometric expression is
Formula used:
The Pythagoras theorem formula
By right angle triangle
By inverse trigonometric formula
Calculation:
Consider the mentioned trigonometric function
Recall that by Pythagoras formula
Where
Therefore
Therefore
Now, recall the trigonometric formula
Therefore
So, the value of trigonometric expression
Chapter 6 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