To find:If the given statement is true or false and justify the answer.
Answer to Problem 124RE
The statement is falseand the justification is given below.
Explanation of Solution
Given:
When thelaw of Sines is used, the solution is always unique.
Calculation:
According to the law of Sines, for any triangle
Consider the following examples where angle R needs to be calculated.
Figure 1
By the law of Sines,
Now either
So, angle R has two possible values which implies that the result of applying the law of Sinesdoes not guarantee a unique solution.
Hence, the given statement is false.
Chapter 6 Solutions
Precalculus with Limits: A Graphing Approach
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