Estrategias para generar ecuaciones polinomiales con raíces valores de funciones trigonométricas

• Autores: Aurel Muntean
• Localización: Boletín de la Sociedad Puig Adam de profesores de matemáticas, ISSN 1135-0261, Nº. 88, 2011, págs. 14-30
• Idioma: español
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• Resumen

  • The equations with trigonometric values as roots were obtained in the 1959´s by Kenneth W. Wegner. The present article is concerned with some atrategies and remarks on how to generate such equations. Its starting point is certain trigonometric equations that involve the trigonometric functions of multiple angles such as sin nφ, cosφ and tan nφ. Finally, a short list of algebraic numbers expressed as trigonometric functions of rational multiples of π are offered.