TABLE "^.-TRIGONOMETRIC FORMULAS FOR THE SOLUTION OF PLANE 

 TRIANGLES. 



= DF 



/ 



Letvt = angle BA <7 = arc B F, and let the radius A F= AB = AH= 1. 

 We then have 



// K G 



sin ,4 



cos A 



tanA 



cot A = HO 



sec A = A D 



cosec A *= AQ 



versin^ = CF = 



covers A = BK = 



exsec ^ = J?Z> 



coexsec A = J5G 



chord A = jB F 



chord 2 ^ = BI 



Fiol. 



11. o == c sin .4 = 6 tan A 



12. 6 = c cos ^ = c cot A 



In the right-angled triangle -A B C 

 Let ,4 B = c, .4 C" = b, and BC = o. 

 We then have: 



1. sin 4 



= -!i = cos B 



2. cos A - - = 



3. tan A = 



= cot B 



4. cot A = - 



5. secX = 



cosec I? 



6. cosec A = = sec B 



7. vers A ** = covers B 



8. exsec A = 



coexsec B 



J. covers A = - =* versin B 



c = 



sin A cos A 



14. o = c cos B = 6 cot B 



15. 6 = c sin B = a tan B 



1G ' c = 5oTF = 'sTO- 



17. o = 



!8- b = V~(c+o)(c-a) 

 19. c = 



20. C^W^A+B 

 21. area =06 



218 



