Ill 



1 . 539G4 

 9.810(50-10 



Check 

 a sin B^^b sin 

 1.35278 

 9.99745-10 



Compute log c 



in-b) vi 



1 . 08328 

 9.9(>790-10 



,C = c sin }2iA-B) 



1.38014 

 9.67104-10 



= 23.996 l)y the law of sines, in two ways. 

 CnKfK.s 



(a+b) sin liC ^= c cos l-JiA-B) 



1.75721 

 9.56902-10 



1.38014 

 9.94610-10 



1.05118 



(fl +6) (a-6) sin C 



1.75721 

 1.08328 

 9.83795-10 



f2 sin (A-B). 



1.38014 

 1.38014 

 9.91817-10 



2 . 67844 2 . 67845 



Case 3. Given the three sides. 



Example. Given a = 2314, 6 = 2431, c = 3124. Compute 14A 

 = 25° 13'.8, yiC = 41° 9'. 4 and check by taking their sum. 



Case 4. Given two sides (say a and b) and the angle opposite one of them (say A). 



Determine the number of .solutions. Compute the angle B opposite the otlu-r 

 given side, by the law of sines, if there are two solutions call the acute angle Bi, and 

 t he obtuse one JB2. 



It is now po.ssible to check by the law of tangents but this is in many cases not 

 .sensitive enough to be decisive. Find the third angle C by subtracting A+B from 

 180°. and compute the third side c by the law of sines. If there are two solutions a 

 check is given by the formulas, 



(7) Bi = A + Cl, fl -t- c-2 = 2ft cos .4 



Bi = A + Ci. o — C2 = 2a cos B2 



