A MANUAL FOR NORTHERN WOODSMEN 



SOLUTION OF TRIANGLES 



The figure may refresh to good pur- 

 pose the memory of the field worker. 

 In it are graphically represented the 

 functions (sine, cosine, secant, and 

 tangent) of the angle BAG. The 

 cosine, cosecant, 

 and cotangent of 



triangle ABC are as follows : 



BAG are respect- 

 ively the sine, 

 secant, and tangent of CAD, the 

 complement of BAG. 



Represented as ratios, the functions 

 of the angle A in the right-angled 



Cosine A = 



AB_ 

 AC 



BG 



Tangent A = 



Secant A = 



By these formulas, and the use of the tables of sines and 

 tangents, all the parts of any right-angled triangle may be 

 obtained if two sides, or an acute angle and a side, are 

 given. 



All the parts and the area of an 

 oblique triangle may be obtained if 

 any three parts including one side 

 are given. Let A, B, C represent 

 the angles, and a, 6, c the opposite 

 sides, of any oblique triangle ; then . 

 the solutions are as given on the 

 next page. 



