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)

432 
TABLES OF THE DEVELOPMENTS OF FUNCTIONS IN THE 
[216 
..Tabled-) C0S /- 
<aj \aj / sm 
cos 
sin 4 
r\-i 
[cos + sin] 
[cos — sin] 
[cos] 
[sin] 
© 
[cos + sin] 
+ 2 
_ 3 
2 
+ 
_5_ 
24 
1 
18 
+ 2 -l 
8 
27 
8 
+ 
999 
1024 
[cos — sin] 
0 
I 
4 6 
+ 
1 
24 
1 
+ — 
3° 
0 
+ 
128 
+ 
27 
1280 
[cos] 
H 
2 
3 
+ 
1 
8 
1 
90 
H 
_ 4^5 
256 
+ 
5 IQ 3 
10240 
[sin] 
H 
5 
6 
+ 
1 
12 
2 
45 
H 
_ 459 
256 
+ 
4887 
10240 
[cos + sin] 
[cos - sin] 
[cos] 
[sin] 
© 
© 
[cos + sin] 
[cos — sin] 
[cos] 
[sin] 
[cos + sin] 
[cos — sin] 
[cos] 
[sin] 
[ ] 3 
.3 
_ 7 
+ 
31 
1 
11 
+ 
1069 
2 
4 
96 
12 
8 
16 
1024 
1 
1 
7 
Q 
9 
9 
O 
12 
24 
240 
128 
320 
H 
11 
+ 
9_ 
9 
H 
_ 3 8 5 
+ 
5201 
12 
64 
x6o 
25 6 
10240 
H 
_ 5 
+ 
35 
13 
H 
_ 367 
+ 
54 8 9 
6 
192 
480 
256 
10240 
5 
1 
+ 
I03 
, I2 55 
+ 39 
+ 
2 
8 
96 
1152 
+ 8 
+ ii 
24 
4- 
43 
2063 
+ 
1920 
+ *3i 
128 
+ 
48 
H 
1 
+ — 
3 
+ 
63 
64 
779 
720 
H 
_ I2 5 
256 
+ 
H 
11 
24 
+ 
17 
192 
+ -if 
5760 
H 
_ 387 
256 
+ 
+ 3 
o 
H 
H 
11 
+ — + 
4 
2 3 
+ — + 
12 
+ 7 + 
3 
+ i- + 
245 
48 
89 
24 
141 
32 
67 
96 
463 
64 
5663 
960 
197 
3° 
641 
960 
2 
o 
H 
H 
+15 + 
2 
11 
+ — + 
3 
67 
+ — + 
12 
, 2 3 
i 5 2 9 
96 
997 
96 
421 
32 
133 
48 
16207 
576 
20279 
960 
8867 
360 
10099 
2880 
[ ] 4 
1803 
1024 
237 
256 
2 75 1 
2048 
855 
2048 
+ 53 
H 
H 
. 343 
+ ns 
+ ^55 
256 
_ _3L 
256 
+ 7041 
1024 
2819 
+ 640 
+ 57757 
10240 
+ 126 53 
10240 
69 183 
8 16 
7 11 
+ 128 
. 2I 75 
256 
753 
H 
H 
256 
23865 
1024 
8733 
640 
189189 
10240 
4946i 
10240
	        
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