T R 1 



Solution 2d. But if c be required alone, then it may be thus determined 

 independently of A and B. 



T. sin, (a b.} (sec. fl)_ 



Case 4. 

 Given A, B, and included side c. Required a, b and C, 



A B 



cos. - 



Solution 1st. Tan. ^-~ = T+.~K X tan ' T 



2 cos. A "T" " 



and Tan. *= 



From whence a 4. 5 and a 6 and .'. a and b may be found, 



Solution 2d. Or C may be determined independently of a and b thus- 

 Assume (tan. > = "er. sin. e. sin^A^ B , C > , = 



/ 2 2 



(cos. 



(cos. |^) S (sec. 



Given ar 6 and A opposite to a j to find the rest. 



To find B, sin. B = -^ A sin - b 

 sin. a 



To find c, sin. c = sin. a. ^-X.. 

 sin. A 



Case 6. 

 Given A, B and a opposite to A, 



Sin, b is. iin. a. -r-fr ; then C and c as in the last case. 



