Ambiguous Case of the Law of Sines?

Question

What exactly is the Ambiguous Case of the Law of Sines? How would you define it? Could you also please give me some examples applying to the ambiguous case?

Answer 1

Basically it means that in certain instances, depending on angle sizes and side sizes, The law of sines does not work because the triangle is not possible, or the triangle has two two possible solutions.

Draw a right triangle ABC with C the right angle and AC being the base. Now extend the line AC to the right to the pointDsuch that BD
Try drawing different triangles given an acute angle A, the side opposite a, and the side b. Draw an altitude to c. See what happens if bh. Do the same given angle A is obtuse. You will soon see the three possibilities. There is one triangle possible, there are two triangles possible, or there is no triangle possible.

Answer 2

ambiguous ability it has greater beneficial than one answer or possibilities. you're able to draw the triangle and then use regulation of sin -> *38/8 = x/6 than you're able to upload those mutually and convey the final perspective. considering that trig purposes are non-supply up *like 0 and 360 are a similar element there are greater beneficial than one obtainable angles which will paintings in that subject. you're able to locate the different perspective that's resembling the only you solved for and upload it to the perspective already given to you, no count if it is under one hundred eighty* than the 0.33 perspective exists and there are 2 possibilities and is for that reason ambiguous. attempt it for the two

Answer 3

oh thats when there are 2 possible angles when you are given only one side..

Answer 4

http://www.mathematicshelpcentral.com/lecture_notes/precalculus_trigonometry_folder/law_of_sines_and_the_ambiguous_case.htm