*. 3 
AH 
Annalen der Hydrographie und Maritimen Meteorologie, Mai 1903. 
15. sin vers x = cos «cos d- cos? + sec? en 
semz = co 2 FT 00x 
16, tang? 5 = cos p + cos d+00s? 5 ‚sec 9 
semz = cost CO Gag x use} 
= 2.0088 P-E9.cotx-tang 
cos? x == cos p-c0s 0-00? 5 
sem zZ = cos (Sax )+ cos? tung ) . 
2 
tang x = cost 29, tangy = cosg+cos d-cos? | 
sem z = sin(x—y)-secx-secy 
sem z = sem (gp — 005% —+ cos? Es, sem € 
+ 
t e+S 
tang? x = sem (9 — d) «cot® x. sec. 
sem z = cos? e. sem t-sec?x, wenn x < 45° 
t 
= sem (gp — d) -cos® P cosec? x, wenn x >> 45° 
19a. semz = 2- co 2 8, sem t + tang 5 + cosec X 
t +0 
20. cos x = sem(g — d) + cot? 3° sec? 757 
t 
wenn cos + +semt > sem (# — d) + cos? ® 
semz — 200g? +, sem t «cos? 
2 2 
Fr 
sec x = sem (g — d} + cot? 5 »gec? BE 
t 
wenn cos a sem £ << sem (p — d}- cos? £ 
sem z = Z2.sem (go — dd} cos? £, cos? 
2 2 
t +0 
tang x = sem (g — d) vcos? = tang y = cos! ——— .semt 
semzZ =— sin(x + y)-secx.-secvy 
29. 
23 
Z —d 
cos? 5 = cos? 2.5 cos p + 008 dd. sem t 
© g—d 
sin? x = cosg + cos d’+ sem t+sec2 Ba 
zZ p—d 
cos? — = 0082 ———.0088x , .. 
a = 0 
—d 
cos? x == cos g + cos d + sem t + sec? 
zZ ° 
cos? = == cos -cosd-semt.-tang2x . 
. —d 
24. sin vers x = cos p-cos d+semt+se02 Ef 
zZ g—d 
COS — — 0082 —— #608 X 
2 3) 
—d 
CO x = COSs@ cos d,semt+sec2? 
—d0 . x 
zz cos 2 — » 811 X +tangy-