Concept explainers
To find:To find the exact values of the six trigonometric functions of the angle if the point on the terminal side of an angle in standard position is
Answer to Problem 21E
The exact values of six trigonometric functions are as follows:
Explanation of Solution
Given information:The given point
Calculation:
Since, the point
From the coordinate plane, the base is
Apply Pythagoras Theorem to calculate the hypotenuse
Calculate the trigonometric functions.
and
and
and
and
and
Therefore, the exact values of six trigonometric functions are as follows.
Chapter 4 Solutions
Precalculus with Limits: A Graphing Approach
- 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