[ El contingut d’aquesta pàgina està restringit ]

[ El contingut d’aquesta pàgina està restringit ]

...cos A = 2 cos 2 j — 1 (resp. 1 2 sin 2 ^) into the cosine law, one has ^4 2 sin 6 sine cos 2 — = cos a — cos b cos c + sin b sin c = cos a — cos(fe + c) Zt = 2sin-(6 + ca)sin-(a + 6 + c) (29) / resp. i ^4 2 sin b sin c sin 2 — = — cos...

[ El contingut d’aquesta pàgina està restringit ]

[ El contingut d’aquesta pàgina està restringit ]

...opposite angles a, ß, and y, the following relations hold: sin a : sin b : sin c = sin a : sin ß : sin y cos a = cos b + cos c + sin b sin c • cos a cos a — - cos ß cos y + sin ß sin y • cos a . 2. Resolving Power and Brightness (Sects. 3.4 and...

[ El contingut d’aquesta pàgina està restringit ]

...(only three of which are independent) that are used to interrelate these quantities: Cosine formula: cos a = cos b cos c + sin b sin c cos A sin A sin B sin C Sine formula: sin a sin b sin C Third formula: sin a cos B = cos b sin c - sin b...

...the triangle xyz, a — d(y, z), b = d(z, x) and c = d(x, y) are the lengths of the three sides, then cos a — cos b cos c + sin b sin c cos a. (2) Deduce that d is a distance on 5. (3) Check that d defines the same topology on 5 as that induced...

...trigonometry, equation (2), we can derive (though not here) the Iaw of cosines of spherical trigonometry: cos a = cos b cos c + sin b sin c cos A, (3) cos b = cos a cos c + sin a sin c cos B, cos c = cos a cos b + sin a sin b cos C. The spherical...