Law of sines: Difference between revisions

From Citizendium
Jump to navigation Jump to search
imported>David E. Volk
m (subpages stuff)
imported>Paul Wormer
No edit summary
Line 1: Line 1:
{{subpages}}
{{subpages}}
In [[geometry]] the '''law of sines''' is useful for calculating one side or angle of any triangle, when five of the six angles and sides are known.  It can be stated as
 
:''See [[Sine rule]] for a proof''.
 
In [[geometry]] the '''law of sines''' (also known as sine rule) is useful for calculating one side or angle of any triangle, when five of the six angles and sides are known.  It can be stated as


:<math> \frac{\sin {A}}{a} =  \frac{\sin {B}}{b} = \frac{\sin{C}}{c} </math>
:<math> \frac{\sin {A}}{a} =  \frac{\sin {B}}{b} = \frac{\sin{C}}{c} </math>

Revision as of 10:20, 18 October 2008

This article is developed but not approved.
Main Article
Discussion
Related Articles  [?]
Bibliography  [?]
External Links  [?]
Citable Version  [?]
 
This editable, developed Main Article is subject to a disclaimer.
See Sine rule for a proof.

In geometry the law of sines (also known as sine rule) is useful for calculating one side or angle of any triangle, when five of the six angles and sides are known. It can be stated as

where the lengths , , and correspond to the sides opposite the respective angles , , and as shown in the image.

Triangle