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)

440 
TABLES OF THE DEVELOPMENTS OF FUNCTIONS IN THE 
[216 
... Table 
cos 
sin 
2/... 
[ ] 2 
[] 3 
cos . 
• 2/ 
sin 
[cos + sin] 
[cos — sin] 
© ■ 
[cos] 
[sin] 
[cos + sin] 
[cos — sin] 
[cos] 
[sin] 
+ I 
+ 
47 
55 
4 
16 
144 
o 
0 
o 
H 
H 
H 
1A 
72 
H 
H 
H 
_ AT 
144 
+ I 
7 
29 
53 
2 
16 
288 
I 
3 
24 
80 
H 
H 
+ 
85 
96 
_ 3}9_ 
2880 
H 
H 
+ 
89 
96 
211 
2880 
A 
2 
-13 1 
16 
+ 
887 
128 
3999 
2048 
9 
, 153 
1280 
10240 
H 
H 
+ 
8861 
99 21 
2560 
10240 
H 
H 
+ 
8879 
_ 5°3 7 
2560 
5 I2 ° 
+ 3 
69 
4- 
369 
1401 
8 
64 
1024 
27 
189 
640 
5120 
H 
H 
+ 
3663 
_ 3597 
1280 
5 I2 ° 
H 
H 
4 
37 1 7 
213 
1280 
3 2 ° 
[cos + sin] 
4 I 
_ 5 
2 
13 
+ T6 
35 
288 
4? 
2 
_ IAA 
16 
, 489 
128 
- 1763 
2048 
[cos — sin] 
0 
0 
I 
+ 
2 4 
240 
0 
0 
81 
+ 1280 
81 
2048 
[cos] 
H 
H 
96 
i33 
2880 
H 
H 
+ 4971 
2560 
841 
2048 
[sin] 
H 
H 
37 
+ 
96 
217 
2880 
H 
H 
+ 4809 
2560 
461 
1024 
[cos 4 sin] 
+ I 
— 1 
♦3 
85 
+ — 
7 2 
+ 4 
- 5 
4 
5£ 
16 
+ 
143 
128 
[cos — sin] 
+ Te 
+ 1£9 
120 
2 3 
1369 
40 
1280 
[cos] 
H 
H 
+ 3 
4 
+ 47 
45 
H 
H 
+ 
301 
160 
+ 
2 799 
2560 
[sin] 
H 
H 
H 
H 
+ 
209 
x6o 
-f 
61 
2560 
[cos + sin] 
+ I 
+ I 
65 
+ 16 
, x 39 
18 
+ 9 
3 
9 6 3 
, 22737 
2 
16 
128 
2048 
[cos — sin] 
0 
0 
-3 
48 
, 333 
80 
0 
0 
+ 2 45i 
1280 
+ 53193 
10240 
[cos] 
H 
H 
+ I3J 
48 
+ 8557 
1440 
H 
H 
12081 
2560 
+ 83439 
10240 
[sin] 
V 
H 
H 
4 4 
3 
+ 2 563 
1440 
H 
H 
+ 7179 
2560 
, T 5 T2 3 
5 I2 °
	        
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