 | Astronomy - 1894 - 576 pages
...C, these three points lie on a straight line, because the ordinary formula for a spherical triangle cos c= cos a cos b + sin a sin b cos C is easily transformed to cos a— b _ cosa + b — cose ~r-(-i) i-(-cdsC) ' So that if a square be... | |
 | Astronomy - 1894 - 448 pages
...C, these three points lie on a straight line, because the ordinary formula for a spherical triangle cos c= cos a cos b + sin a sin b cos C is easily transformed to cosa + b — cos a — b _ cos a + b — cose i— (— l) i— ( — cos... | |
 | Alexander Macfarlane - Vector analysis - 1894 - 60 pages
...When A, B, C, are used to denote the external angles between the sides, the above equation is written cos C = — cos A cos B — sin A sin B cos c. Apply the same rule of change to the Sine part, and we obtain Sin (TT— £17) = — cos(ir— ££)... | |
 | Alexander Macfarlane - Vector analysis - 1894 - 244 pages
...trigonometry is, c denoting the angle between the arcs A and B, and (7 denoting the opposite side. cos C = cos A cos B + sin A sin B cos c. A + B FIG. 1. Fio. 2. But suppose that the angle B of Fig. 1 is tilted up, and let c denote the angle... | |
 | Frederick Anderegg, Edward Drake Roe - Trigonometry - 1896 - 136 pages
...or cos A = — cos B cos C + sin B sin C cos a. Advancing, cos B = — cos C cos A + sin C sin A cos b, cos C = — cos A cos B + sin A sin B cos c. ft. Equations in which the Parts enter Five at a Time. 1. Species one. Equations involving three sides... | |
 | Sidney Luxton Loney - Plane trigonometry - 1896 - 344 pages
...two angles. For example sin (A + B + C) = sin ( A + B) cos G + cos (A + B) sin C = [sin A cos B + cos A sin -B] cos C + [cos A cos B — sin A sin B] x sin C = sin A cos B cos C + cos A sin B cos C + cos A cos B sin (7 — sin J. sin Л sin C. So... | |
 | Frederick Anderegg, Edward Drake Roe - Trigonometry - 1896 - 134 pages
...— b As a check use § 79. If the side c alone is desired, it may be found from the formula, § 77, cos c = cos a cos b + sin a sin b cos C, which may be adapted to logarithmic computation by the aid of an auxiliary angle, as follows : cos... | |
 | John Bascombe Lock - Logarithms - 1896 - 244 pages
...angle. cos a = cos b cos c + sin b sin c cos A, 4 cos 6 = cos c cos a + sin c sin a cos B, > (1) . , "cos c = cos a cos b + sin a sin b cos C. J Whence . cos a — cos b cos c cos A = ; ; , sin b sin c cos b — cos c cos a cosB = cos С —... | |
 | George Albert Wentworth - Trigonometry - 1899 - 392 pages
...cos С' + sin Ь" sin С' cos a'; and similarly, cos B' = — cos A' cos С' + sin A' sin С' cos6'; cos C' = — cos A' cos B' + sin A' sin B' cos c'. EXERCISE XXXV. PAGE 157. 1. Write formulas for finding, by Napier's Rules, the side a when b, c, and... | |
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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. 
