| Christopher B. S. Teh - 2006 - 278 pàgines
...as points A and C are along the lines OA and OE, respectively. Finally, Eq. B.2 is re-expressed to cos a = cos b cos c + sin b sin c cos A Similarly, using the above principles, it can be shown that cos b = cos c cos a + sin c sin a cos B... | |
| Peter Petersen - 2006 - 405 pàgines
...a. Then, ip (t) = Ci cos t + C2 sin t + I = (v?(0)- 1) cost + v?'(0) sin i+1, and consequently 1 — cos a = — cos b cos c — sin b sin c cos a + I , which implies the law of cosines. D The proof of the law of cosines suggests that in working... | |
| C Barbieri - 2006 - 388 pàgines
...relation, and a variant of the first formula we shall apply are: cos a cos C = sin a cot b - sin C cot B, cos A = -cos B cos C + sin B sin C cos a where "cot" means "I/tan" (not the inverse tan!). Analogous to Brigg's formulae are the following (2s... | |
| J. V. Armitage, W. F. Eberlein - 2006 - 9 pàgines
...underlying principle is called the duality principle. In particular (for example) (9.56) may be replaced by cos A = — cos B cos C + sin B sin C cos a, (9.57) and similar expressions are obtained by cyclic interchange. 9.6.2 Elliptic functions and spherical... | |
| Eugene F. Milone, William J.F. Wilson - 2008 - 258 pàgines
...The Law of Cosines for a Spherical Triangle In this section we demonstrate a proof of the cosine law: cos a = cos b cos c + sin b sin c cos A First, we derive some useful results for a right spherical triangle (ZC = 90° in Figure 2.3), which... | |
| |