Concept explainers
To verify: The given
Explanation of Solution
Given information:
The trigonometric identity
Formula used:
Conversion rules,
Calculation:
Consider the function,
Rewrite the left hand side of the equation as,
Recall that
Construct a right angle triangle with perpendicular p as
Since,
So, base b of triangle is
Recall that
Therefore,
Now,
Since, trigonometric and inverse trigonometric functions cancel each other.
Thus, left hand side and right hand side is equal, therefore, the trigonometric identity
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