(a)
To find: The values of B for the triangle have no solution.
(a)
Answer to Problem 39E
Explanation of Solution
Given information: Critical Thinking: If
Calculation:
Use case I, no solution if
Applying
We have to be sure that the function we are applying is a monotonic-rising function, if we are to keep the inequality sign as is.
Does this function preserve order on its domain?
Yes, for a smaller value, the arc sin is also smaller, for a greater value, the arc sin is greater.
If it was the other way around, we would have had to turn the inequality sign the other way.
If it were not monotonous, we could not apply it at all. I mean we could, but it wouldn’t make any sense.
Thus,
(b)
To find: The values of B for the triangle have one solution.
(b)
Answer to Problem 39E
Explanation of Solution
Given information: Critical Thinking: If
Calculation:
Use case I, one solution if
Equations are much simpler to handle (see part a to get what I mean)
Thus,
(c)
To find: The values of B for the triangle have two solution.
(c)
Answer to Problem 39E
Explanation of Solution
Given information: Critical Thinking: If
Calculation:
Use case I, two solution if
Applying
We have to be sure that the function we are applying is a monotonic-rising function, if we are to keep the inequality sign as is.
Does this function preserve order on its domain?
Yes, for a smaller value, the arc sin is also smaller, for a greater value, the arc sin is greater.
If it was the other way around, we would have had to turn the inequality sign the other way.
If it were not monotonous, we could not apply it at all. I mean we could, but it wouldn’t make any sense.
Thus,
Chapter 5 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
Precalculus
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus: Early Transcendentals (2nd Edition)
Precalculus (10th Edition)
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