(a)
To graph: The function
(a)
Explanation of Solution
Given:
The functions are
Formula used:
Pythagorean identity:
The addition formula of cosine function is
Calculation:
Substitute the value
Use online graphing calculator to graph the function
From Figure 1, it is observed that
(b)
To find: The values for
(b)
Answer to Problem 68E
The given function
Explanation of Solution
Formula used:
The addition formula of sine function is
Calculation:
Set
Thus,
Use the addition formula for sine function and expand
Substitute
Thus, equation (1) can be rewritten as
Obtain the value of
Similarly obtain the value of
Use the Pythagorean identity and obtain
Multiply both side by
Substitute the value
Substitute the value
Thus,
Since,
Hence, the given function
Chapter 7 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning