Formula for sn 8ti, cn 8u, dn 8u, in terms of sn u. 485 



00 ^ 00 

 00 CM GO 

 OX CM 



CO CM 

 00 X>- *Q 

 CO Ci r— I 



co o oa 



I + I 



00 CM 00 Tff 



Ott * T ^.'^l 



O CO CO CO o 

 O 00 CO 00 o 

 Ci CM CO CM C5 

 r-l X -ft i— I 

 H Tji H 



+ I + | + 



00 t? 00 Tft Tfi 00 

 CO 00 00 X CO 



1> rH rH O r- 1 — ' X>» 



00 00 iH CO i— I 00 00 



cm o o \a © o cm 



H O LQ H LO Q H 

 tJ< 05 -t> X CI ^1 

 NOXQN 



CM CO rfi 



i— i o co 



© ~ CD 

 VC.H 



Pi 



i 



o 



Pi 



o 

 Q 



o 

 

 H 

 o 



o 



+ I + 



^ X o o o 



CM © © X X 

 CO C5 £■» ^fi CO 



cm Oi x> ^ x>» 



I + I + I + I 



ooooooooo 



O ^ !M X N X N ^ O 



OOlO^H^lOOO 

 Q^NXMXb^Q 

 C3»^ 3 050^00 05 



UJr- I © © © © © rH O 



M rs CI rfl « T? 



+ I + 



OCOX^i 

 X X O O OX 

 tt( CD O CO 

 CD J>. Ci CO 

 -t> t? J>- CI <N 

 CM © O CM 



l + l + l +I+I+I+I+ l+l+l 



OOCOOCOXXCOXCM^?OXO^MXCOXXCOOCOX 

 N Q CO CO O ^ H X H (M X X X ?1 h X H O CO 'C C M 



CM O CM 05 O X -? -T CO CO — CO — CO rr X © 05 OX © CM 

 5Q HJi lO lO CO i-O H X>» CO 00 lO 00 CO fc» H lC C lO lO r-i — OX 

 <MNXt»C5HNH^CHOHr4NHC51>XjqM 

 rH CM CM iOXXXOXOXXXlO CM CM rH 

 COHO^X-fCHCO 

 rH OX CM rH CM CM rH 



+ I 



+ I + I + I + I+ +I + I + 



o c 



CD ~ 

 Iffl CO 

 O "O 

 rH O 



C O O ^ X H N X C5 X f -i H X ^ 



,-, CO CM © 1— r-! 

 iOXCMX^OC0XX^C0iOrHCCrH»0)C0X>00CD 

 03>HX>LOr5t>OX>l>COCNX>"OX>CC 

 H^NiObHOOHTjOMLO'tnOCCH 

 rHCMC0OXXOX>XX^OXXOC0 

 CMCOT-cCOC5^lC5COrHCOCM 



X O 

 © © 

 OX CO 

 C X- 



o x>» 



CM rH 



OX X 



— oa 

 oi — 



© o 



© CO 

 CO iO 



tO © 



+ I 



XCOOCOXCDOX^XO^?X^?X^OX^XOCOXCOOCDX 

 fn.onranNX^xia)T |, ?'7itM^T | - ; 'XXr , XNCC0O 1 0X 

 NOCOHXrlXHCCN-r^OCXCO^CO 



xloooonx , . . 



CO"rJlCOXOCi"r H ~r' X>. CO CO l — ^? * nu. 1 «J ^^uJUHHUTSC 

 (M^iOOQO-XX-?OXtHCXO^XX-OOOLOrM 



w '-"S C3 O CI X> H ^ lo X N X O -? h i-^ CO r> r. O ^ O N 



M H O 2 CD N X O M O N fl5 ^ ' ' 



CM O - ~ 



rHCMCMrH©©©X>X©OX©OXOXX>CD©OrHCMCMrH 

 rinn-jm^H^iTHOrHOOO 

 rH CM CO CM 



CM 



+ I + I + I+ +I + I + I + I + I + I+ +I + I + I + 



CD 00 O 00 -^k-^i CO CM O CO O 00 00 CO 00 00 O CO O CM CO ^ 00 O 00 CO 

 COXCDCMCMXOOiOXrHOO^XCOX^COOi— ixoc;xcmcmcoxco 



CO CO U3 LO CD CO O rH tJI X tH J>- lO CM iO OX O X> X -? — i © CO CD O lO CO CO 



CM C OX CO CD CI CD -r O X O iO "tf © X CO CO © ~r CO CD CM O CM 

 rH CM CM rH TjtM.OOCNlO'MONOlXCJONTrl 

 ffQ H O) n C5 O iO a h Si h m 

 IfJ lO -r? rH 



CM CM 



+ I + I + I + I l + l + l + l + l 



+ ° I 



I + 



l + l + l 



© g| o X 



+ I 



O 00 3 



53 53 53 C H % % % % % % ~53 53 53 "H 53 53 13 13 



