Concept explainers
To verify the identity
Answer to Problem 19E
True
Explanation of Solution
Given:
Equation:
Formula used:
Calculation:
1. Algebraic method
Consider Left Hand side of the given equation,
Rewriting cot in terms of tan using identity,
Now, consider Right Hand Side of the given equation,
Rewriting cot in terms of tan using identity,
It is clear that, equation (i) and equation (ii) are equal.
Therefore, Left Hand Side is equal to Right Hand Side.
Hence,
2. Numerical method
Let,
Now, using the table feature of graphing utility,
Interpretation:
From the above table, it is clear that, for any value of x, both functions were resulting same value.
So, both functions are equal to each other.
Conclusion:
Therefore,
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