Concept explainers
To calculate: The value of the trigonometric expression
Answer to Problem 46E
The value of the trigonometric expression
Explanation of Solution
Given information:
The values,
Formula used:
The Pythagorean identity,
Conversion rule,
Sum rule for tangent function
Calculation:
Consider the provided values,
Recall that sine function is negative and cosine function is positive in the interval
Recall that sine function is positive and cosine function is positive in the interval
Recall that the Pythagorean identity,
Since,
Simplify it further as,
Since,
Since,
Simplify it further as,
Since,
Substitute the values,
And
Apply the tangent function
Since,
Thus, the value of the trigonometric expression
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