Concept explainers
If the angle θ is in standard position and P(x, y) is a point on the terminal side of θ, and r is the distance from the origin to P, then
To evaluate: The value of trigonometric function
Answer to Problem 1E
The value of trigonometric function
Explanation of Solution
Given:
The angle
Calculation:
The Figure which shows the terminal side and the angle
Figure (1)
From the Figure (1), the value of
Substitute b for perpendicular and r for height in equation (1),
From the Figure (1), the value of
Substitute a for base and r for height in equation (2),
From the figure (1), the value of
Substitute b for perpendicular and a for base in equation (3),
The value of trigonometric function
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