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)

438 
TABLES OF THE DEVELOPMENTS OF FUNCTIONS IN THE 
[216 
... Table 
'ry\ cos 
/ sin 
2/ 
cos . 
• 2 / 
sin 
© 
[cos + sin] 
[cos — sin] 
[cos] 
[sin] 
[cos + sin] 
[cos - sin] 
[cos] 
[sin] 
[cos + sin] 
[cos — sin] 
[cos] 
[sin] 
©' 
[cos + sin] 
[cos — sin] 
[cos] 
[sin] 
[ ] (i 
[ ] 7 
[ P 
[f 
r 
e 4 
—N 
e 6 
e 7 
e 7 
+ 2 ~i 
8 
189 
16 
16807 
+ 3840 
I495 82 3 
92160 
+ ^56 
45 
53I44I 
71680 
o 
0 
0 
0 
0 
0 
H 
H 
H 
H 
H 
H 
H 
H 
H 
H 
H 
H 
+ | 
8 
261 
- 80 
2401 
+ —— - 
1920 
12005 
3072 
+ — 
45 
59049 
35840 
o 
0 
0 
0 
0 
0 
H 
H 
H 
H 
H 
H 
H 
H 
H 
H 
H 
H 
o 
+ 63 
80 
_ J343 
3840 
102557 
92160 
8 
45 
_ 19683 
71680 
o 
0 
0 
0 
0 
0 
o 
H 
H 
H 
H 
H 
o 
H 
H 
H 
H 
H 
3 
8 
+ 33 
20 
- 49_ + 
120 
20531 
11520 
4 
9 
2187 
4480 
o 
0 
0 
0 
0 
c 
H 
H 
H 
H 
H 
H 
H 
H 
H 
H 
H 
H
	        
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