Tocalculate:The exact values of
Answer to Problem 109RE
The required values of
Explanation of Solution
Given information:
The identity:
Formula used:
The half-angle formulas for trigonometric identities are shown below:
Pythagoras theorem:
For a right-angled triangle, the square of the hypotenuse and the sum of the squares of the base and the perpendicular are equal to each other that is,
Calculation:
It is known that,
Here,
This means,
And,
To find the base that is, b; use the Pythagoras theorem
Substitute 12 for
Since, sides cannot be negative; so,
Substitute 5 for
To find the exact values, use the formulas
Since,
Substitute
Substitute
Substitute
Hence, the required values of
Chapter 5 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