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.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
icon
Related questions
Question

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.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Law of Cosines
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning