How To Teach Law Of Sines Ambiguous Case

How To Teach Law Of Sines Ambiguous Case Using the law of sines to find an unknown length can give rise to an ambiguous answer due to the possibility of two solutions namely when you are given two side lengths and a nonincluded acute angle If angle is acute and lt lt two possible triangles and exist

Ambiguous case of the law of sines explained in a video tutorial with pictures practice problems as well as a free pdf worksheet with answer key Step by Step tutorial explains how to work with the ambiguous case of the law of sines Ace your Math Exam

How To Teach Law Of Sines Ambiguous Case

How To Teach Law Of Sines Ambiguous Case
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This lesson plan includes the objectives prerequisites and exclusions of the lesson teaching students how to use the rule of sines to solve SSA side side angle ambiguous triangles When using the Law of Sines to find an unknown angle you must watch out for the ambiguous case This occurs when two different triangles could be created using the given information For example take a look at this picture If you are told that b 10 in and c 6 in there are two different triangles that match this criteria As you can

Examples solutions videos and lessons to help High School students learn how to use the law of sines to solve triangles including the ambiguous case The following diagram shows how to use the sine rule when given the ambiguous case Learn how to solve oblique triangles using the law of sines SSA Here we will cover the ambiguous case Ace your Exam

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Ambiguous Case SSA Let sides a and b and angle A be given in triangle ABC The law of sines can be used to calculate the value of sin B 1 If applying the law of sines results in an equation having sin B gt 1 then no triangle satis es the given conditions 2 If sin B 1 then one triangle satis es the given conditions and B 90 176 3 In the ambiguous case of the sine rule two sides have xed length and an angle is opposite one of the sides If by putting the point of a pair of compasses on an arc can be drawn that cuts the horizontal side in two places the ambiguous case of the sine rule exists for that triangle

What is ambiguous case of triangle How do you find possible triangles given two sides and an angle SSA How do you use the Law of Cosines and Sines in various ambiguous cases Solve an ambiguous triangle using the law of sines In this lesson we will learn how to use the rule of sines to solve SSA side side angle ambiguous triangles

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How To Teach Law Of Sines Ambiguous Case - Learn how to solve oblique triangles using the law of sines SSA Here we will cover the ambiguous case Ace your Exam