Wentworth, G. A. (George Albert), 1835-1906 · Boston, Ginn & company · leaf 158
the side c alone is desired. Let (Fig. 101) ZABD = x, Z.CBD = y, BD=p; then, Rule I, cos c = cot x cot A. Whence, cot x — tan A cos c.Rule II, cos A = cosp sin x.Whence, cos p = cos A esc x.Rule II, cos C = cosp sin y.Whence, cos/> = cos C esc y... cos C = cos A esc # sin y = cos .4 esc x sin… … Example. Given A = 35° 46 15, 5 = 115° 9 = 51°2: find C. log tan A =9.85760log cos c = 0.79856log cot x — 9.65616 x = 65° 37 35 .-. B - x = 49° 31 32 log cos A= 9.90992 log esc x =0.04056 log sin (J5 - x) = 9.88121 log cos C = 9.83069 C = 47° 22 42 EXERCISE XXXVm 1. What are the formulas for…
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