DISQUISICIONES TRIGONOMÉTRICAS 309 



sen v. 30° = 1 — -v/3; eos v. 30 =1— - = :;' 



W=|[l-^] : 



1 1 1 

 cov. 30° = — 2 = 4 



1 1 



1+ 2* 3 2 + i/3 1 + 2 3 



subv. 30° = - ■= V ; subcov. ;;o° = — — = -■ 



15 4 2 4 



30. Arco de 45°. 



enerdn de 90 ' = 

 o 



sen 45 ° = eos 45 ° = - cnerda de 90 ' = - y 2 



— -i_, cosv. 45°=1 — -v/2 = — — 



sen v. 45° = 1 — -y/2 



2 



2— y/ 2 2— y/2 



vers. 45° = — ^— cov. 45° = — ->- 



4 4 



snbv.45°=l + -v / 2 ^ 1 + ^ 2 2 + y/2 



= — ; subcov. 45 ° = = — ■ — • 



2 4' 24 



31. Arco de 60. 



sen 60 ° = - cuerda de 120° = -y/3 eos 00 ° = sen 30 ° =- 



¿I & -' 



senv. 60° = 1 — - = -; eos v. 60° = 1 — -y/3= 2 ~v 3 



2 2 2 V 2 



2 2 — 11 2 —y/3 



vers. 60 ° = = = -\ cov. 60 ° = -*- 



2 4 4 4 



1 + ^ 2 + 1 3 1 + 2^ 2+y/3 



subv. 60 ° = - -^ =^P = t 5 subcov. 60 ° = - -— = -^ L - 



2 4 4 ¿ ■ 4 



32. Arco de 90°. 



sen 80° =1, cos90°=0 



senv. 90 =1 — eos 90° = 1 — = 1, eos v. 90° = 1 — 1=0 



ver. 90° = - cov. 90' = 



1+0 1 1+12 



subv. 90° = -^ = -: subcov. 90°=-¿--=l. 



2 2 2 2 



