Full text: The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., sadlerian professor of pure mathematics in the University of Cambridge (Vol. 3)

436 
TABLES OF THE DEVELOPMENTS OF FUNCTIONS IN THE 
[216 
... Table (f-Y ... (-Y) C ? S 2/... 
\(ij \aJ / sin 
cos 
2 / 
[ ] 2 
[ ] 3 
0' 
[cos + sin] 
[cos — sin] 
[cos] 
[sin] 
+1 + 
47 
16 
H 
H 
° + is 
H + 7 4 
h + 
4 b 
35 
24 
2I 5 
288 
3 
160 
55i 
1440 
I3 1 
360 
2 
H 
H 
75 
16 
H 
H 
573 
128 
21 
1280 
575i 
2560 
5709 
2 i 60 
35°7 
2048 
1 2 ? 
10240 
8829 
10240 
4353 
5 1 2° 
© 
[cos + sin] 
[cos — sin] 
[cos] 
[sin] 
+ I - - 
23 
16 
I 
16 
H 
H 
H + 
16 
H 
4 
65 
288 
480 
i79 
1440 
73 
720 
19 
+ 1 --T? + 
H H 
H H 
107 
64 
£7. 
640 
. IQ 53 
1280 
1087 
+ 1280 
479 
1024 
7 
1024 
2 43 
1024 
59 
256 
© 
[cos + sin] 
[cos — sin] 
[cos] 
[sin] 
+ I 
o 
H 
H 
II 
16 
_7 
48 
H 
H 
— + 
£3 
48 
—S + 
43 
72 
1 
240 
433 
1440 
427_ 
1440 
1 
-\ 
2 
3_ 
16 
H H 
H H 
£17 
128 
69 
1280 
1239 
2560 
1101 
2560 
£553 
2048 
i37 
10240 
395i 
10240 
1907 
5 1 20 
© 
[cos + sin] 
[cos — sin] 
[cos] 
[sin] 
+ I + I - —7 + 
43 
16 
35 
36 
H H 
H H 
_5_ 
48 
67 
48 
31 
24 
+ 35 
72 
+ 35 
72 
H 
H 
9 
4 
3 
160 
363 
320 
357 
320 
267 
256 
3__ 
640 
£34 1 
2560 
1329 
2560
	        
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