The Ambiguous Case of the Law of Sines

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

How many possible answers are there in the ambiguous case of the law of sines?

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1. Which of the following is the law of sines?

2. Which of these cases results in ambiguity when using the law of sines?

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About This Quiz & Worksheet

In this short quiz/worksheet combo, we include a series a multiple-choice questions designed to check your comprehension of the ambiguous case of the law of sines. When you take this quiz, you'll be asked about identifying the law of sines and how to find the second possible solution when dealing with an ambiguous law of sines case.

Quiz & Worksheet Goals

Use this quiz to see how well you understand:

  • How many possible answers there are in the ambiguous case of the law of sines
  • How to identify the law of sines
  • Which kind of case results in ambiguity when the law of sines is used
  • How to find the second possible solution when you have the ambiguous law of sines case
  • Which kinds of triangles the law of sines will work for

Skills Practiced

  • Information recall - access the knowledge you've gained regarding which kind of case results in ambiguity
  • Reading comprehension - ensure that you draw the most important information from the related lesson on the ambiguous case of the law of sines
  • Knowledge application - use your knowledge to answer questions about the kinds of triangles the law of sines works for

Additional Learning

Check out the lesson titled The Ambiguous Case of the Law of Sines if you'd like to learn more. We've created this lesson to help you achieve the following:

  • Explain how to visually check if you have one or two answers
  • Discuss the two visuals that correspond to the two possible answers from the ambiguity of the law of sines
  • Detail what you need to do to discover if there's another answer when using the law of sines
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