 | Robert B. Banks - Mathematics - 2002 - 346 pages
...by using the law of cosines and the law of sines. The law of cosines is given by the relationships cos a = cos b cos c + sin b sin c cos a , cos b = cos c cos a + sin c sin a cos /3, (7.1) cos c = cos a cos b + sin a sin b cos y , and the... | |
 | Carl W. Hall - Technology & Engineering - 2018 - 566 pages
...A = the angle opposite side a for a spherical triangle: cos a = cos b cos c + sin b sin c cos A or cos A = cos B cos C + sin B sin C cos a Keywords: mathematics, plane, spherical, triangle, trigonometry Sources: Baumeister, T. 1967; Isaacs,... | |
 | Robert B. Banks - Mathematics - 2002 - 308 pages
...utilized in our analysis; the various symbols are defined in figure 24.1. The law of cosines states that cos a = cos b cos c + sin b sin c cos a, (24.1) and two similar equations for cos b and cos c. The law of sines states that sin a sin b sin... | |
 | Elmer Rees - Mathematics - 2005 - 132 pages
...sinc = sin b sin y. Proof i) Put cos p = 0 in ® b. ii) Putcosp = 0,sinp = 1 in (J^. iii) Use (3X: cos a = cos b cos c + sin b sin c cos a Substitute cos a cos c for cos b (from i)) and use cos2c = 1 - sin2c. Divide by sin c to get cos a... | |
 | Anthony Kelly, G. W. Groves, P. Kidd - Science - 2000 - 492 pages
...1.2): sin/4 sinß sin C sino sin¿» sine (AI.7) Figure A1.2 cosa = cosfccosc + sinbsinccosA (Al. 8) cos A = - cos B cos C + sin B sin C cos a (A 1. 9) and of course there are corresponding relations for cos b, cos c, cos B and cos C. If one... | |
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A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B... 
