<abstract xmlns="http://www.w3.org/1999/xhtml"><p> We calculate the values of the trigonometric functions for angles: [XXX] , by [16]. After defining some trigonometric identities, we demonstrate conventional trigonometric formulas in the triangle, and the geometric property, by [14], of the triangle inscribed in a semicircle, by the proposition 3.31 in [15]. Then we define the diameter of the circumscribed circle of a triangle using the definition of the area of a triangle and prove some identities of a triangle [9]. We conclude by indicating that the diameter of a circle is twice the length of the radius </p></abstract>

We calculate the values of the trigonometric functions for angles: [XXX] , by [16]. After defining some trigonometric identities, we demonstrate conventional trigonometric formulas in the triangle, and the geometric property, by [14], of the triangle inscribed in a semicircle, by the proposition 3.31 in [15]. Then we define the diameter of the circumscribed circle of a triangle using the definition of the area of a triangle and prove some identities of a triangle [9]. We conclude by indicating that the diameter of a circle is twice the length of the radius

Some Facts about Trigonometry and Euclidean Geometry

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Formalized Mathematics

This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 License.

{"article-title":"Some Facts about Trigonometry and Euclidean Geometry"}

We calculate the values of the trigonometric functions for angles: [XXX] , by [16]. After defining some trigonometric identities, we demonstrate conventional...

Some Facts about Trigonometry and Euclidean Geometry

Published Online: Dec 31, 2014

Page range: 313 - 319

Received: Sep 29, 2014

DOI: https://doi.org/10.2478/forma-2014-0031

Keywords
Euclidean geometry, trigonometry, circumcircle, right-angled

© by Roland Coghetto

This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 License.

Some Facts about Trigonometry and Euclidean Geometry

Published Online: Dec 31, 2014

Page range: 313 - 319

Received: Sep 29, 2014

DOI: https://doi.org/10.2478/forma-2014-0031

KeywordsEuclidean geometry, trigonometry, circumcircle, right-angled

© by Roland Coghetto

This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 License.

Keywords
Euclidean geometry, trigonometry, circumcircle, right-angled