To choose: The option in which law of sines can be used to solve a triangle.
Answer to Problem 2E
The law of sines are be used to solve a triangle by ASA and SSA.
Explanation of Solution
Given information:
The following options are provided,
Formula used:
Law of sines and cosines are used to solve the oblique triangles. Oblique triangles are the triangles with no right triangles.
Law of sines are applicable if the triangles are given with two angles and a side included i.e. ASA or SAA and with two sides and angle opposite one of those sides i.e. SSA.
Law of cosines are applicable when the triangle is given with two sides and included angle i.e. SAS and with all the three sides i.e. SSS.
Calculation:
To find out the options in which law of sines can be used to solve a triangle, recall that law of sines and cosines are used to solve the oblique triangles. Oblique triangles are the triangles with no right triangles.
Law of sines are applicable if the triangles are given with two angles and a side included i.e. ASA or SAA and with two sides and angle opposite one of those sides i.e. SSA.
Law of cosines are applicable when the triangle is given with two sides and included angle i.e. SAS and with all the three sides i.e. SSS.
So, ASA and SSA are the law of sines that are used to solve the triangles.
Chapter 6 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: 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. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning