 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
 | 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... | |
 | 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— ££)... | |
 | 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... | |
 | 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... | |
 | Webster Wells - Trigonometry - 1907 - 140 pages
...cos b cos c + sin b sin c cos A. (88) In like manner, cos b = cos c cos a + sin c sin a cos B, (89) and cos c = cos a cos b + sin a sin b cos (7. (90) 153. Let ABC and A'B'C' be a pair of polar triangles. JÍ Applying formula (88) to the triangle... | |
 | 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... | |
 | Elmer Adelbert Lyman, Edwin Charles Goddard - Trigonometry - 1900 - 156 pages
...cos A = — cos B cos C + sin B sin C cos a. Similarly, cos B = — cos A cos C + sin A sin C cos 6, and cos C = — cos A cos B + sin A sin B cos c. sin A sin S sin (7 97. In any spherical triangle to prove Since cos A = sin a sin b sin cos a — cos... | |
 | Robert Stawell Ball - Screws - 1900 - 584 pages
...sin a sin b sin c ' cos a = cos b cos c + sin b sin c cos A, cos b = cos c cos a + sin c sin a cos B, cos c = cos a cos b + sin a sin b cos C. Thus the formulae of spherical trigonometry are generally applicable throughout the extent*. * I learned... | |
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