Concept explainers
To find: the exact value of the trigonometric expression when
Answer to Problem 75RE
Explanation of Solution
Given information:
Given expression,
Calculation:
Consider that
The sine of an angle is equal to opposite side over the hypotenuse. Since
Since cosine of an angle is equal to adjacent side over the hypotenuse and
Therefore:
The cosine of an angle is equal to adjacent side over the hypotenuse. Since
Since the sineof an angle is equal to opposite side over the hypotenuse and
Apply the sum formula for sine that is:
Substitute:
And,
So,
Therefore,
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