• 대한수학회보
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• 제36권1호
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• pp.161-169
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• 1999

Generalized nonnegative trigonometric polynomials are defined as the products of nonnegative trigonometric polynomials raised to positive real powers. The generalized degree can be defined in a natural way. We improve and extend the large sieve involving pth powers of trigonometric polynomials so that it holds for generalized trigonometric polynomials.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제22권3호
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• pp.289-310
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• 2008

본 연구는 고등학교 <10-나>의 삼각함수의 성질을 단위원이 아니라 삼각함수 sin(x), cos(x), tan(x)의 그래프 성질을 이용하여 구할 수 있는 방법을 제시하여 삼각함수의 값을 구하는 학습활동과 삼각함수의 그래프에 대한 학습활동과의 연계성을 높이고, 이를 통하여 삼각함수의 성질에 대한 학생들의 이해를 향상시킬 수 있는지를 논의하고자 한다. 본 연구의 결론은 삼각함수 그래프 이용에 의한 삼각 함수값 구하기의 효율성 증대, 일반각에 대한 삼각 함수값 구하기의 정확한 용어 사용, 삼각 함수값 구하기와 삼각함수의 그래프 지도내용 사이의 연계성, 삼각함수의 그래프의 선행 지도 등이며 이에 대한 논의가 제시되어 있다.

• Journal of applied mathematics & informatics
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• 제19권1_2호
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• pp.513-520
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• 2005

We calculate the normal fuzzy probability for trigonometric fuzzy numbers defined by trigonometric functions. And we study the normal probability for some operations of two trigonometric fuzzy numbers. Furthermore, we calculate the normal fuzzy probability for some fuzzy numbers generated by operations.

• Korean Journal of Mathematics
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• 제16권3호
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• pp.369-378
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• 2008

The aim of this paper is to study the stability problem for the pexider type trigonometric functional equation f(x + y) − f(x−y) = 2g(x)h(y), which is related to the d'Alembert, the Wilson, the sine, and the mixed trigonometric functional equations.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제17권1호
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• pp.63-78
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• 2013

Trigonometric ratios are difficult concepts to teach and learn in middle school. One of the reasons is that the mathematical terms (sine, cosine, tangent) don't convey the idea literally. This paper deals with the understanding of a concept from the learner's standpoint, and searches the orientation of teaching that make students to have full understanding of trigonometric ratios. Such full understanding contains at least five constructs as follows: skill-algorithm, property-proof, use-application, representation-metaphor, history-culture understanding [Usiskin, Z. (2012). What does it mean to understand some mathematics? In: Proceedings of ICME12, COEX, Seoul Korea; July 8-15,2012 (pp. 502-521). Seoul, Korea: ICME-12]. Despite multi-aspects of understanding, especially, the history-culture aspect is not yet a part of the mathematics class on the trigonometric ratios. In this respect this study investigated the effect of history approach on students' understanding when the history approach focused on the mathematical terms is used to teach the concept of trigonometric ratios in Grade 9 mathematics class. As results, the experimental group obtained help in more full understanding on the trigonometric ratios through such teaching than the control group. This implies that the historical derivation of mathematical terms as well as the context of mathematical concepts should be dealt in the math class for the more full understanding of some mathematical concepts.

• 한국수학사학회지
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• 제19권1호
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• pp.79-90
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• 2006

본 논문은 중$\cdot$고등학교에서 특수각의 삼각비를 삼각비의 원래 기원인 기하학적 의미가 아닌 지나친 대수적 접근방법으로 지도하고 있다는 문제점으로부터 출발하여 특수각의 삼각비를 유클리드 <원론>에 기초한 정오각형과 정십각형의 작도법으로부터 유도하고자 한다. 이를 위하여 정오각형과 정십각형의 작도법을 고찰하고 이로부터 다양한 특수각을 기하적으로 유도하고 있다. 이런 기하학적 방법을 통하여 특수각의 삼각비의 기하학적 의미를 재조명하고 수학사를 활용한 삼각비의 교수방법을 제시하고자 한다.

• 호남수학학술지
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• 제30권1호
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• pp.185-195
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• 2008

We consider a system of trigonometric functional equations in the spaces of generalized functions such as Schwartz distributions and Gelfand generalized functions. As a consequence we find locally integrable solutions of the n-dimensional trigonometric functional equation.

• 대한수학회논문집
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• 제23권4호
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• pp.567-575
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• 2008

In this article we prove the Hyers.Ulam stability of trigonometric functional equations.

• 충청수학회지
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• 제35권1호
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• pp.33-37
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• 2022

In this short note, we prove an open problem for the interval (-∞, ∞), related to a reverse trigonometric Masjed-Jamei inequality presented in [2] and establish a new inequality of a similar kind.

• 한국산업융합학회 논문집
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• 제16권1호
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• pp.9-13
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• 2013

This paper measured some condition about differential height of two points for the comparison of measure by direct method and Geodimeter and trigonometric Leveling method. The research was compared relationship between the volue to get from three measure method and five measured man. The significance of between three measure method and five measured man has been investigated by analysis of two-way ANOVA. The result indicate that between five measured man show insignficance, and between the direct method and Geodeter method show signficance and between the direct method and trigonometric Leveling method show signficance but between the Geodeter method and trigonometric Leveling method, two method show insignficant. Therefore, when using Geodemeter leveling method and trigonometric Leveling method, you must keep particular attention when former two Leveling method about instrumental error, natural error, and personal error, two Leveling method using low precision leveling.