Concept explainers
(a)
The quadrant in which u/2 lies.
(a)
Answer to Problem 74RE
Quadrant II
Explanation of Solution
Given information:
Calculation:
Since,
Therefore,
Therefore, u/2 lies in Quadrant II.
(b)
To find :The exact values of sin(u/2), cos(u/2) and tan(u/2) by using half angle formula.
(b)
Answer to Problem 74RE
Explanation of Solution
Given information:
Calculation:
Given
By using the identity
Since, u lies in Quadrant IV, therefore,
Therefore,
Now, we will use the following half angle formula.
By taking
Since
Therefore,
Also,
Chapter 5 Solutions
EBK PRECALCULUS W/LIMITS
- 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