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All Journal JURNAL AXIOMA : Jurnal Matematika dan Pembelajaran
Nur Hidayatin
universitas pgri argopuro jember, Indonesia
Education Mathematics

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Generalisasi Ketaksamaan Sinus pada Segitiga Nur Hidayatin; Frida Murtinasari
Jurnal Axioma : Jurnal Matematika dan Pembelajaran Vol. 7 No. 1 (2022): Januari
Publisher : Universitas Islam Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56013/axi.v7i1.1195

Abstract

This study aims to find a generalization of the sine inequality of any triangles. This generalization is the general form of the sine inequality in a triangle when the angles given are not angles of the triangle, i.e. when the sum of the three angles is not equal to . The sine inequality that will be studied focuses on the inequalities of the sum and multiplication of sine in triangles. In the process, qualitative research methods are carried out in the form of literature review, namely studying the sum and the multiplication inequalities of sine in triangles which will then be developed and obtained new generalizations from the previous inequalities, namely generalizations of sine inequalities in triangles. These generalizations include generalizing the inequalities of the sum of sine in triangles and generalizing the inequalities of multiplication sine in triangles. To study this, it is necessary to first study the concepts of trigonometry, namely the definition of sine and cosine, the rules of sine and cosine; the relationship of the sine cosine to the sides of the triangle; the relationship of the radius of the circumcircle of the triangle to the sides and angles of the triangle; and arithmetic and geometric mean inequalities.The results of this study obtained the generalization of the sine inequality of any triangles. Keywords: inequality, sine, triangle
Konsep Matematika Kerajinan Kayu Pada Perabotan Rumah Tangga: Eksplorasi Etnomatematika indah rahayu; Widatul Istiqomah; Nur Hidayatin
Jurnal Axioma : Jurnal Matematika dan Pembelajaran Vol. 11 No. 1 (2026): Januari
Publisher : Universitas Islam Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56013/axi.v11i1.4675

Abstract

Mathematics is a branch of science that studies numbers and shapes. In everyday life, community activities unconsciously apply mathematical concepts. Ethnomathematics is a field of study that integrates local culture with mathematical concepts. This research aims to explore forms of ethnomathematics related to woodcraft. Woodcraft is a type of handicraft that primarily uses wood as its main material. The type of research used in this study is descriptive research with an ethnographic design, aimed at understanding the mathematical aspects contained from an ethnomathematical perspective. The application of ethnomathematics in the learning process can enrich teaching materials by connecting mathematical concepts with the cultural backgrounds of students. The method employed in this research is an ethnographic approach, in which data are collected through observation, interviews, and documentation. Keywords: etnomathematic, woodcraft
Co-Authors Frida Murtinasari indah rahayu Widatul Istiqomah