
Concept explainers
To find: the exact value of the given expression.

Answer to Problem 50E
The exact value of
Explanation of Solution
Given information:
Given expression
Calculation:
We need to express the given expression
Let
We sketch a right angle triangle
To find the trigonometric function, sine, we first need to find the value of
Substituting
Isolating
Switching the sides and taking square root on both sides, we get
Therefore,
Now, we use the half angle formula for tangent as
Substituting the values of
Combining the terms in the denominator, we get
Hence, the exact value of
Chapter 7 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





