Use the Law of Sines to show that there is no triangle satisfying angle A=π/3 with opposite side a=2 and side b=5 (Recall the notation that side a is opposite angle A and side bb is opposite angle B). Apply the Law of Sines and solve for sin(B).sin(B)= (5sqrt3)/4In complete sentences, explain why this value for the sin(B) shows that no such triangle exists.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.5: The Law Of Sines
Problem 2E: The four cases in which we can solve a triangle are ASASSASASSSS a In which of these cases can we...
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Use the Law of Sines to show that there is no triangle satisfying angle A=π/3 with opposite side a=2 and side b=5 (Recall the notation that side a is opposite angle A and side bb is opposite angle B).

Apply the Law of Sines and solve for sin(B).
sin(B)= (5sqrt3)/4
In complete sentences, explain why this value for the sin(B) shows that no such triangle exists.

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