Open AccessA rational sine and cosine of the angles of a triangle
Author(s) -
Edmundas Mazėtis,
Grigorijus Melničenko
Publication year - 2013
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.b.2013.28
Subject(s) - pythagorean theorem , sine , pythagorean triple , trigonometric functions , pythagorean trigonometric identity , mathematics , spherical trigonometry , direction cosine , trigonometry , geometry , mathematical analysis , polynomial , linear interpolation , bicubic interpolation
The article deals with triangles whose sines and cosines of the angles are the rational numbers. We prove that these triangles are similar to Pythagorean or Heronian triangles, and vice versa.