KONSEP TRIGONOMETRI PADA SEGITIGA BOLA DAN APLIKASINYA DALAM MENENTUKAN ARAH QIBLAT

OKTRIWARDANI, ANIS (2008) KONSEP TRIGONOMETRI PADA SEGITIGA BOLA DAN APLIKASINYA DALAM MENENTUKAN ARAH QIBLAT. Other thesis, University of Muhammadiyah Malang.

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Abstract

Trigonometry, besides it can be used at a plane, can also be used at spherical triangle known as spherical trigonometry. The spherical trigonometry discusses a relationship between the sides and angles of spherical triangle. This spherical triangle is the one formed by the intersection of three great circles on the sphere surface. This study focuses on the derivation of cosine and sine formula on spherical trigonometry and the application of spherical trigonometry in determining the direction of Qiblat. This study is done based on material and information from works and books. The proven was done by communicating and discussing the result of discussion with mathematician, namely the lecture of mathematic course as the writer’s advisor. The communication involves discussion directly or presented in a seminar. Based on of result discussed can be conclusion that manner of derivation formulae cosine at spherical triangle begin by construction a spherical triangle ABC on sphere that center of sphere is O, whose arc of AB = c, BC = a, and AC = b. After word to construction arc of DA that intersection a great circle that contain arc of AB and D point on length of OB line and construction EA line that intersection a great circle that contain arc of AC and E point on length of OC line. Furthermore, to find the available connections by involve cosine formula at plane trigonometry. Finally a got cosine formulae at spherical trigonometry as:

Item Type: Thesis (Other)
Subjects: L Education > L Education (General)
Divisions: Faculty of Teacher Training and Education > Department of Mathematics and Computing
Depositing User: Anggit Aldila
Date Deposited: 24 May 2012 06:28
Last Modified: 24 May 2012 06:28
URI: http://eprints.umm.ac.id/id/eprint/5872

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