Concept explainers
(a)
To fill: The value of each trigonometry function in the table.
(a)
Answer to Problem 93E
The complete table shown below.
Explanation of Solution
Given Information:
The given table is as follows.
Calculation:
Complete the table by using graphing utility.
0 | 0.3420 | 0.6428 | 0.8660 | 0.9848 | |
1 | 0.9397 | 0.7660 | 0.5 | 0.1736 | |
0 | 0.3640 | 0.8391 | 1.7321 | 5.6713 |
Therefore, the complete table shown above.
(b)
The classification of the three trigonometric functions as increasing or decreasing table values.
(b)
Answer to Problem 93E
The value of
Explanation of Solution
Given Information:
Consider the following table.
0 | 0.3420 | 0.6428 | 0.8660 | 0.9848 | |
1 | 0.9397 | 0.7660 | 0.5 | 0.1736 | |
0 | 0.3640 | 0.8391 | 1.7321 | 5.6713 |
Calculation:
As shown in the table, the value of
As shown in the table, the value of
As shown in the table, the value of
Therefore, value of
(c)
To verify: The tangents function is the quotient of the sin and cosine function.
(c)
Explanation of Solution
Given Information:
Consider the following table.
0 | 0.3420 | 0.6428 | 0.8660 | 0.9848 | |
1 | 0.9397 | 0.7660 | 0.5 | 0.1736 | |
0 | 0.3640 | 0.8391 | 1.7321 | 5.6713 |
Formula Used:
From the trigonometry ratios,
Proof:
Consider the angle
Calculate the ratio of
From the above, it is clear that the left hand side is equal to the right hand side.
Hence, proved.
Chapter 4 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- 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