LAW OF SINES

My Historical Note
Trigonometry is the branch of mathematics that deals with the study of triangles.
From earliest times man has been characterized by their enormous curiosity to understand everything around him, including the phenomena of the sky. This is how the ancient Greeks gave special emphasis to the study of astrology, trigonometry emerged thus used in the interpretation of the stars. It was not until 1250 when the Persian astronomer Nasir-ed-din produced the first book of trigonometry. After Euler concluded Nicolas Copernicus and the definitions and notations that we use to nuetras days.

From trigonometry it follows the law of sines.

Law of sines

In any triangle, the ratio between one side and within its opposite angle, is equal to the ratio between the other side and the sine of the angle opposite to it, for the same triangle.

Which we used for the solution of triangles rhomboid.
Specifically for two cases:
Case 1: Known two angles and any side (AAL)
Case 2: Known two sides and an angle opposite one of them (ALL) or (ALL)

Here we show in an applet the law of sines and then show examples of problems applied to both cases.


Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)


Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)


Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)