Precalculus with Limits: A Graphing Approach
7th Edition
ISBN: 9781305071711
Author: Ron Larson
Publisher: Brooks/Cole
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Question
Chapter 6.2, Problem 63E
To determine
Tosolve:The triangle using law of cosine and compare the result by law of sine then describe advantage and disadvantage of each method.
Expert Solution & Answer
Explanation of Solution
Given:
a=12 ftb=30 ftA=20°
The value of c by law of cosine is ,
c2=a2−b2+2bccosAc2=122−302+2(12)(c)cos20°c2−56.38c+756=0
Solve the above
c=34.47 and 21.91 .
So, for the set of values given two triangles are possible.
By the law of sine it would give the same result, as sine is positive for angle 0 to 90° and 90° to 180° .
Thus, there shall be two value of angle C .
The advantage of law of cosine is it is easier to choose the correct value to avoid ambiguous case.
The disadvantage of law of cosine is that the computation and calculation are more.
The advantage of law of sine is that the computation and calculation are less.
The disadvantage of law of cosine is that it is not easy to choose the correct value and hence the ambiguity is more.
Chapter 6 Solutions
Precalculus with Limits: A Graphing Approach
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Calculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. Freeman
Calculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
Calculus: Early Transcendentals
Calculus
ISBN:9781285741550
Author:James Stewart
Publisher:Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning
The Law of Cosines; Author: Professor Dave Explains;https://www.youtube.com/watch?v=3wGQMyaWoLA;License: Standard YouTube License, CC-BY
Law of Sines and Law of Cosines (4 Examples); Author: Mario's Math Tutoring;https://www.youtube.com/watch?v=T--nPHdS1Vo;License: Standard YouTube License, CC-BY