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Calculus III

Course: Trigonometry
Topic: Oblique Triangles and the Laws
Subtopic: Ambiguous Case

Overview

Depending on the information given in the Law of Sines, there is usually only one triangle that fits the info. However, sometimes there are two different triangles that could fit the data, or no triangle possible. This is called the ambiguous case. Watch out for it!

Objectives

By the end of this topic you should know and be prepared to be tested on:

• 7.2.1 Recognize the ambiguous case (which occurs when given SSA)
• 7.2.2 In the ambiguous case, determine if there is 0, 1, or 2 solution triangles
• 7.2.3 In the ambiguous case, if 2 solution triangles, find both

Terminology

Terms you should be able to define: ambiguous case

Mini-Lectures and Examples

Supplementary Resources

Explore one or both of these interactive demonstrations of the ambiguous case to better understand why it may have 0, 1, or 2 solutions: Ambiguous Case for the Law of Sines or Law of Sines, Ambiguous Case.

rev. 2020-10-31