Stručni rad
Rational and non-rational values of trigonometric functions
Omer Kurtanović
; Ekonomski fakultet, Univerzitet u Bihaću
Nenad Stojanović
; Poljoprivredni fakultet, Univerzitet u Banja Luci
Fatka Kulenović
; Tehnički fakultet, Univerzitet u Bihaću
Sažetak
The paper presents an application of Chebyshev polynomials of the first and second kind in proving the non-rationality of certain values of trigonometric functions. More precisely, we determine those rational multiples of the number π for which the values of sine, cosine and tangent are rational numbers, and for which these values are irrational numbers. We show that if
relatively prime numbers and
is irrational. We also discuss rationality and irrationality of numbers
Ključne riječi
trigonometric functions, Chebyshev polynomials, rational values of trigonometric functions
Hrčak ID:
258826
URI
Datum izdavanja:
1.6.2021.
Posjeta: 1.627 *