Concept explainers
a.
Find
a.
Answer to Problem 106E
Explanation of Solution
Given information:
The figure shows point
Find
Calculation:
Let us consider the following figure Also let this is a unit circle with radius
Hence, from the unit circle definitions of sine and cosine,
b.
What is the value of
b.
Answer to Problem 106E
Explanation of Solution
Given information:
The figure shows point
What is the value of
Calculation:
Let us consider the following figure Also let this is a unit circle with radius
The value of
Hence, we get
c.
Find
c.
Answer to Problem 106E
Explanation of Solution
Given information:
The figure shows point
Use the definitions of sine and cosine given in this section to find
Calculation:
Let us consider the following figure Also let this is a unit circle with radius
Using the definition of sine and cosine,
As,
d.
what can you conclude from the part (a) and (c).
d.
Answer to Problem 106E
Explanation of Solution
Given information:
The figure shows point
Based on your answers to parts (a) and (c), what can you conclude?
Calculation:
Let us consider the following figure Also let this is a unit circle with radius
From the answers in part (a) and (b), we can conclude that the value of trigonometric functions from unit circle definitions is equal to the value of trigonometric functions from rectangular co-ordinate definitions.
Hence, the trigonometric functions from unit circle is equal to the trigonometric functions from rectangular co-ordinate.
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