B . sin c = sin b . sin C cos a = cos b . cos c + sin b . sin c cos b = cos a . cos c + sin a . sin c cos A cos B cos c = cos a . cos b + sin a . sin b . cos C ..2), cotg b . sin c = cos G. Spherical Trigonometry ... - Page 23by Isaac Todhunter - 1859 - 275 pagesFull view - About this book
| Nathan Scholfield - Conic sections - 1845 - 542 pages
...cos. a — cos. b cos. c . . • • " • • • •* (•*•) cos. A = And, cos. C = sin. b sin. c cos. c — cos. a cos. b sin. a sin. b .'. cos. c — cos. a cos. i + sin. a sin. b cos. C - - - (2.) Substituting this value of cos. c in Equation (1.)... | |
| Nathan Scholfield - 1845 - 894 pages
...cos. a — cos. 6 cos. c cos. A = And, cos. C = sin. b sin. c cos. c — cos. a cos. b sin. a sin. b cos. c = cos. a cos. b + sin. a sin. b cos. C (1.) . . . (2.) Substituting this value of cos. c in Equation (1.) : cos. a — cos. a cos.' b —... | |
| Anthony Dumond Stanley - Geometry - 1848 - 134 pages
...: thus, (1) cos a = cos b cos c + sin b sin c cos A (2) cos b = cos a cos c + sin a sin c cos B (8) cos c = cos a cos b + sin a sin b cos C. and as the three equations at the end of the last article together contain all the six parts of a triangle,... | |
| Franz Brünnow - Astronomy - 1851 - 634 pages
...Fälle umfasst: cos a = cos b cos c + sin b sin c cos A cos b = cos o cos c + sin o sin c cos B {1) cos c = cos a cos b + sin a sin b cos C sin a sm U — sin b sin . l EID a sin C' — sin c sin .1 (3) sin 6 sin C = sin c sin /•' sin o... | |
| M. E. Gouré - Geometry - 1852 - 644 pages
...donc facilement les deux angles A et B. Pour trouver le côté c, on se servira de la formule (n° 75) cos c = cos a cos b -+- sin a sin b cos C. Mais , pour rendre cette expression calculable par logarithmes, il faudra poser sin b cosC — : -,... | |
| Silvestre François Lacroix - Geometry, Analytic - 1852 - 354 pages
...qui sont : cos A = — cos B cos C + sin B sin C cos a cos B = — cos A cos C -f- sin A sin C cos b cos C = — cos A cos B + sin A sin B cos c cos A -+- cos B cos C cos b = cos c = sin B sin C cos B -+- cos A cos C sin A sin C cos C -+- cos A... | |
| Encyclopedias and dictionaries - 1852 - 446 pages
...les côlés a', b', c, du triangle sphérique semblable tracé à sa surface , donnent l'équation cos c'= cos a' cos b' + sin a' sin b' cos C ; mais les arcs semblables a et a' donnent, en développant , R étant le rayon de la terre. Il faut... | |
| William Augustus Norton - Astronomy - 1852 - 522 pages
...a sin b sin c or, the sines of the angles are proportional to the sines of the opposite sides. 74. cos c = cos a cos b + sin a sin b cos C 75. cos c = cos (a — b) — 2 sin a sin b sin" £C 76. cos C = sin A sin B cos c — cos A cos B... | |
| William Chauvenet - Trigonometry - 1855 - 264 pages
...is equal to the sine of the other angle. In PL Trig, we have sin A = cos JB. 48. From (4), we have, cos c = cos a cos b + sin a sin b cos C or, when (7=90°, cos c = cos a cos 6 (84) that is, the cosine of the hypotenuse is equal to the product... | |
| John Hymers - Logarithms - 1858 - 292 pages
...opposite the greater angle. 45. If it be required to determine C independently of a and I, we have cos C= — cos A cos B + sin A sin B cos c = cos A (— cos B + swB tan .4 cos c) ; and determining the subsidiary angle $ by the equation cot... | |
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