Wilson's Functional Diagram 



From "Machinery", J\'oz>. 1903. 



The arrangement was designed by Prof. W. H. Wilson in 

 order to show concisely the symmetry of relation of trigonometrical 

 functions. It is intended to aid the memory and to be used for 

 ready reference. By comparing values it will be manifest that 

 each function is equal to : 



The reciprocal of its diametrical opposite ; 

 The ratio of the first and second in either direction; 

 The product of its two adjacents, or 



An expression involving the square of an adjacent, a radical 

 and unity. 



coi 



sin. A = 



a - C 5//7 /I 



cosec.A 



cos;n. A 



b m c cosm.A 



cos/n.A = 



fan. A 



a b tan. A 



ton. A 



colon. A - 



b - a cofon. A 



cofan.A = 



c - b sec A 



c w a cosec.A 



vers. A - c - 



vers. A s l-cosin.A 



c-a-ccoversA 



covers A- 1- sin. A 



- h - 



