Osječki matematički list, Vol. 7 No. 2, 2007.
Professional paper
Some elegant approaches to solving non-standard tasks
Željko Zrno
; Veleučilište
Abstract
We can solve certain problems and tasks in mathematics in an unusual, unpredictable and even
witty way. We will show applying trigonometry, squared equation and Pitagora s theorem on a few
examples I have devided into three sections using known results from the fields which seem
not to be related with the field from which the task itself comes.
So we can conclude that the different fields of mathematics ``live'' in a kind of ``relationship''
and that they are strongly connected. That wierd combination of obvious and mystic witty,
unpredictable, as well as the unity in diferences is exactly what should fascinate and constantly
inspire us. I hope that I have achieved, through the following choice of tasks, that particular aim.
Keywords
ellegant approaches; not up to standard tasks; mathematical competitions; trigonometry; squared equation; Pitagora's theorem; cosinus theorem; tangens theorem; asymmetry of reletion; equation of third or fourth degree; set R; semicircle; square; triangl
Hrčak ID:
21884
URI
Publication date:
11.4.2008.
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