Precalculus with Limits
3rd Edition
ISBN: 9781133947202
Author: Ron Larson
Publisher: Cengage Learning
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Question
Chapter 6.1, Problem 38E
a.
To determine
To find the values for 
such that the triangle has one solution.
a.
Expert Solution
Answer to Problem 38E
Explanation of Solution
Given Information:
Consider the following values of a triangle
Laws of sin states that,
If ABC is a triangle with sides a, b, c. A, B and C are the angles opposite to a, b and c respectively then,
Apply laws of sin,
For one solution angle B should be acute, therefore for this
b.
To determine
To find the values for 
such that the triangle has one solution.
b.
Expert Solution
Answer to Problem 38E
Explanation of Solution
Given Information:
For two solutions there should be two angles between 
to 
but 
this implies,
But, 
should be greater than 1 also this implies,
Thus, the above relations give,
Therefore, the value of b for two solutions is 
c.
To determine
To find the values for 
such that the triangle has one solution.
c.
Expert Solution
Answer to Problem 38E
Explanation of Solution
Given Information:
If there is no solution then 
this implies,
Therefore, the value of b for no solutions is
Chapter 6 Solutions
Precalculus with Limits
Ch. 6.1 - Prob. 1ECh. 6.1 - Prob. 2ECh. 6.1 - Prob. 3ECh. 6.1 - Prob. 4ECh. 6.1 - Prob. 5ECh. 6.1 - Prob. 6ECh. 6.1 - Prob. 7ECh. 6.1 - Prob. 8ECh. 6.1 - Prob. 9ECh. 6.1 - Prob. 10E
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