Concept explainers
To prove: That the cosine and secant functions are even and that the sine, cosecant, tangent and cotangent functions are odd using unit circle.
Answer to Problem 56E
Explanation of Solution
Used Formula:
A function
The unit circle can be drawn as,
Form the diagram,
Hence, cosine function is even function.
Similarly,
Then, secant function is also even function.
Now,
Hence, sine function is an odd function.
Since,
Hence, cosecant function is an odd function.
Now,
Hence, tangent function is an odd function.
Since,
Hence, cotangent function is an odd function.
Chapter 4 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