|
Table of Cos(θ) |
|
Degree |
0¯ |
6¯ |
12¯ |
18¯ |
24¯ |
30¯ |
36¯ |
42¯ |
48¯ |
54¯ |
Different of minutes |
|
0 |
0.1° |
0.2° |
0.3° |
0.4° |
0.5° |
0.6° |
0.7° |
0.8° |
0.9° |
1¯ |
2¯ |
3¯ |
4¯ |
5¯ |
|
0 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
1.0000 |
0.9999 |
0.9999 |
0.9999 |
0.9999 |
0 |
0 |
0 |
0 |
0 |
|
1 |
0.9998 |
0.9998 |
0.9998 |
0.9997 |
0.9997 |
0.9997 |
0.9996 |
0.9996 |
0.9995 |
0.9995 |
0 |
0 |
0 |
0 |
0 |
|
2 |
0.9994 |
0.9993 |
0.9993 |
0.9992 |
0.9991 |
0.9990 |
0.9990 |
0.9989 |
0.9988 |
0.9987 |
0 |
0 |
0 |
1 |
1 |
|
3 |
0.9986 |
0.9985 |
0.9984 |
0.9983 |
0.9982 |
0.9981 |
0.9980 |
0.9979 |
0.9978 |
0.9977 |
0 |
0 |
1 |
1 |
1 |
|
4 |
0.9975 |
0.9974 |
0.9973 |
0.9972 |
0.9971 |
0.9969 |
0.9968 |
0.9966 |
0.9965 |
0.9963 |
0 |
0 |
1 |
1 |
1 |
|
5 |
0.9962 |
0.9960 |
0.9959 |
0.9957 |
0.9956 |
0.9954 |
0.9952 |
0.9951 |
0.9949 |
0.9947 |
0 |
1 |
1 |
1 |
2 |
|
6 |
0.9945 |
0.9943 |
0.9942 |
0.9940 |
0.9938 |
0.9936 |
0.9934 |
0.9932 |
0.9930 |
0.9928 |
0 |
1 |
1 |
1 |
2 |
|
7 |
0.9925 |
0.9923 |
0.9921 |
0.9919 |
0.9917 |
0.9914 |
0.9912 |
0.9910 |
0.9907 |
0.9905 |
0 |
1 |
1 |
2 |
2 |
|
8 |
0.9902 |
0.9900 |
0.9898 |
0.9895 |
0.9893 |
0.9890 |
0.9888 |
0.9885 |
0.9882 |
0.9880 |
0 |
1 |
1 |
2 |
2 |
|
9 |
0.9876 |
0.9874 |
0.9871 |
0.9869 |
0.9866 |
0.9863 |
0.9860 |
0.9857 |
0.9854 |
0.9851 |
0 |
1 |
1 |
2 |
2 |
|
10 |
0.9848 |
0.9845 |
0.9842 |
0.9839 |
0.9836 |
0.9833 |
0.9829 |
0.9826 |
0.9823 |
0.9820 |
1 |
1 |
2 |
2 |
3 |
|
11 |
0.9816 |
0.9813 |
0.9810 |
0.9806 |
0.9803 |
0.9799 |
0.9796 |
0.9792 |
0.9789 |
0.9785 |
1 |
1 |
2 |
2 |
3 |
|
12 |
0.9781 |
0.9778 |
0.9774 |
0.9770 |
0.9767 |
0.9763 |
0.9759 |
0.9755 |
0.9751 |
0.9748 |
1 |
1 |
2 |
3 |
3 |
|
13 |
0.9743 |
0.9740 |
0.9736 |
0.9732 |
0.9728 |
0.9724 |
0.9720 |
0.9715 |
0.9711 |
0.9707 |
1 |
1 |
2 |
3 |
3 |
|
14 |
0.9702 |
0.9699 |
0.9694 |
0.9690 |
0.9686 |
0.9681 |
0.9677 |
0.9673 |
0.9668 |
0.9664 |
1 |
1 |
2 |
3 |
4 |
|
15 |
0.9659 |
0.9655 |
0.9650 |
0.9646 |
0.9641 |
0.9636 |
0.9632 |
0.9627 |
0.9622 |
0.9617 |
1 |
2 |
2 |
3 |
4 |
|
16 |
0.9612 |
0.9608 |
0.9603 |
0.9598 |
0.9593 |
0.9588 |
0.9583 |
0.9578 |
0.9573 |
0.9568 |
1 |
2 |
2 |
3 |
4 |
|
17 |
0.9562 |
0.9558 |
0.9553 |
0.9548 |
0.9542 |
0.9537 |
0.9532 |
0.9527 |
0.9521 |
0.9516 |
1 |
2 |
3 |
3 |
4 |
|
18 |
0.9510 |
0.9505 |
0.9500 |
0.9494 |
0.9489 |
0.9483 |
0.9478 |
0.9472 |
0.9466 |
0.9461 |
1 |
2 |
3 |
4 |
5 |
|
19 |
0.9454 |
0.9449 |
0.9444 |
0.9438 |
0.9432 |
0.9426 |
0.9421 |
0.9415 |
0.9409 |
0.9403 |
1 |
2 |
3 |
4 |
5 |
|
20 |
0.9396 |
0.9391 |
0.9385 |
0.9379 |
0.9373 |
0.9367 |
0.9361 |
0.9354 |
0.9348 |
0.9342 |
1 |
2 |
3 |
4 |
5 |
|
21 |
0.9335 |
0.9330 |
0.9323 |
0.9317 |
0.9311 |
0.9304 |
0.9298 |
0.9291 |
0.9285 |
0.9278 |
1 |
2 |
3 |
4 |
5 |
|
22 |
0.9271 |
0.9265 |
0.9259 |
0.9252 |
0.9245 |
0.9239 |
0.9232 |
0.9225 |
0.9219 |
0.9212 |
1 |
2 |
3 |
4 |
6 |
|
23 |
0.9204 |
0.9198 |
0.9191 |
0.9184 |
0.9178 |
0.9171 |
0.9164 |
0.9157 |
0.9150 |
0.9143 |
1 |
2 |
3 |
5 |
6 |
|
24 |
0.9134 |
0.9128 |
0.9121 |
0.9114 |
0.9107 |
0.9100 |
0.9092 |
0.9085 |
0.9078 |
0.9070 |
1 |
3 |
4 |
5 |
6 |
|
25 |
0.9062 |
0.9056 |
0.9048 |
0.9041 |
0.9033 |
0.9026 |
0.9018 |
0.9011 |
0.9003 |
0.8996 |
1 |
3 |
4 |
5 |
6 |
|
26 |
0.8987 |
0.8980 |
0.8973 |
0.8965 |
0.8957 |
0.8949 |
0.8942 |
0.8934 |
0.8926 |
0.8918 |
1 |
3 |
4 |
5 |
6 |
|
27 |
0.8909 |
0.8902 |
0.8894 |
0.8886 |
0.8878 |
0.8870 |
0.8862 |
0.8854 |
0.8846 |
0.8838 |
1 |
3 |
4 |
5 |
7 |
|
28 |
0.8828 |
0.8821 |
0.8813 |
0.8805 |
0.8796 |
0.8788 |
0.8780 |
0.8771 |
0.8763 |
0.8755 |
1 |
3 |
4 |
6 |
7 |
|
29 |
0.8745 |
0.8738 |
0.8729 |
0.8721 |
0.8712 |
0.8704 |
0.8695 |
0.8686 |
0.8678 |
0.8669 |
1 |
3 |
4 |
6 |
7 |
|
30 |
0.8659 |
0.8652 |
0.8643 |
0.8634 |
0.8625 |
0.8616 |
0.8607 |
0.8599 |
0.8590 |
0.8581 |
1 |
3 |
4 |
6 |
7 |
|
31 |
0.8570 |
0.8563 |
0.8554 |
0.8545 |
0.8536 |
0.8526 |
0.8517 |
0.8508 |
0.8499 |
0.8490 |
1 |
3 |
5 |
6 |
8 |
|
32 |
0.8479 |
0.8471 |
0.8462 |
0.8453 |
0.8443 |
0.8434 |
0.8425 |
0.8415 |
0.8406 |
0.8396 |
2 |
3 |
5 |
6 |
8 |
|
33 |
0.8385 |
0.8377 |
0.8368 |
0.8358 |
0.8348 |
0.8339 |
0.8329 |
0.8320 |
0.8310 |
0.8300 |
2 |
3 |
5 |
6 |
8 |
|
34 |
0.8289 |
0.8281 |
0.8271 |
0.8261 |
0.8251 |
0.8241 |
0.8231 |
0.8221 |
0.8211 |
0.8202 |
2 |
3 |
5 |
7 |
8 |
|
35 |
0.8190 |
0.8181 |
0.8171 |
0.8161 |
0.8151 |
0.8141 |
0.8131 |
0.8121 |
0.8111 |
0.8100 |
2 |
3 |
5 |
7 |
8 |
|
36 |
0.8089 |
0.8080 |
0.8070 |
0.8059 |
0.8049 |
0.8039 |
0.8028 |
0.8018 |
0.8007 |
0.7997 |
2 |
3 |
5 |
7 |
9 |
|
37 |
0.7985 |
0.7976 |
0.7965 |
0.7955 |
0.7944 |
0.7934 |
0.7923 |
0.7912 |
0.7902 |
0.7891 |
2 |
4 |
5 |
7 |
9 |
|
38 |
0.7879 |
0.7869 |
0.7859 |
0.7848 |
0.7837 |
0.7826 |
0.7815 |
0.7804 |
0.7793 |
0.7782 |
2 |
4 |
5 |
7 |
9 |
|
39 |
0.7770 |
0.7760 |
0.7749 |
0.7738 |
0.7727 |
0.7716 |
0.7705 |
0.7694 |
0.7683 |
0.7672 |
2 |
4 |
6 |
7 |
9 |
|
40 |
0.7659 |
0.7649 |
0.7638 |
0.7627 |
0.7615 |
0.7604 |
0.7593 |
0.7581 |
0.7570 |
0.7559 |
2 |
4 |
6 |
8 |
9 |
|
41 |
0.7546 |
0.7536 |
0.7524 |
0.7513 |
0.7501 |
0.7490 |
0.7478 |
0.7466 |
0.7455 |
0.7443 |
2 |
4 |
6 |
8 |
10 |
|
42 |
0.7430 |
0.7420 |
0.7408 |
0.7396 |
0.7385 |
0.7373 |
0.7361 |
0.7349 |
0.7337 |
0.7325 |
2 |
4 |
6 |
8 |
10 |
|
43 |
0.7312 |
0.7302 |
0.7290 |
0.7278 |
0.7266 |
0.7254 |
0.7242 |
0.7230 |
0.7218 |
0.7206 |
2 |
4 |
6 |
8 |
10 |
|
44 |
0.7192 |
0.7181 |
0.7169 |
0.7157 |
0.7145 |
0.7133 |
0.7120 |
0.7108 |
0.7096 |
0.7083 |
2 |
4 |
6 |
8 |
10 |
|
45 |
0.7070 |
0.7059 |
0.7046 |
0.7034 |
0.7022 |
0.7009 |
0.6997 |
0.6984 |
0.6972 |
0.6959 |
2 |
4 |
6 |
8 |
10 |
|
46 |
0.6945 |
0.6934 |
0.6921 |
0.6909 |
0.6896 |
0.6884 |
0.6871 |
0.6858 |
0.6845 |
0.6833 |
2 |
4 |
6 |
8 |
11 |
|
47 |
0.6819 |
0.6807 |
0.6794 |
0.6782 |
0.6769 |
0.6756 |
0.6743 |
0.6730 |
0.6717 |
0.6704 |
2 |
4 |
6 |
9 |
11 |
|
48 |
0.6690 |
0.6678 |
0.6665 |
0.6652 |
0.6639 |
0.6626 |
0.6613 |
0.6600 |
0.6587 |
0.6574 |
2 |
4 |
7 |
9 |
11 |
|
49 |
0.6559 |
0.6547 |
0.6534 |
0.6521 |
0.6508 |
0.6494 |
0.6481 |
0.6468 |
0.6455 |
0.6441 |
2 |
4 |
7 |
9 |
11 |
|
50 |
0.6426 |
0.6414 |
0.6401 |
0.6388 |
0.6374 |
0.6361 |
0.6347 |
0.6334 |
0.6320 |
0.6307 |
2 |
4 |
7 |
9 |
11 |
|
51 |
0.6292 |
0.6280 |
0.6266 |
0.6252 |
0.6239 |
0.6225 |
0.6211 |
0.6198 |
0.6184 |
0.6170 |
2 |
5 |
7 |
9 |
11 |
|
52 |
0.6155 |
0.6143 |
0.6129 |
0.6115 |
0.6101 |
0.6088 |
0.6074 |
0.6060 |
0.6046 |
0.6032 |
2 |
5 |
7 |
9 |
12 |
|
53 |
0.6017 |
0.6004 |
0.5990 |
0.5976 |
0.5962 |
0.5948 |
0.5934 |
0.5920 |
0.5906 |
0.5892 |
2 |
5 |
7 |
9 |
12 |
|
54 |
0.5876 |
0.5864 |
0.5850 |
0.5835 |
0.5821 |
0.5807 |
0.5793 |
0.5779 |
0.5764 |
0.5750 |
2 |
5 |
7 |
9 |
12 |
|
55 |
0.5734 |
0.5721 |
0.5707 |
0.5693 |
0.5678 |
0.5664 |
0.5650 |
0.5635 |
0.5621 |
0.5606 |
2 |
5 |
7 |
10 |
12 |
|
56 |
0.5591 |
0.5577 |
0.5563 |
0.5548 |
0.5534 |
0.5519 |
0.5505 |
0.5490 |
0.5476 |
0.5461 |
2 |
5 |
7 |
10 |
12 |
|
57 |
0.5445 |
0.5432 |
0.5417 |
0.5402 |
0.5388 |
0.5373 |
0.5358 |
0.5344 |
0.5329 |
0.5314 |
2 |
5 |
7 |
10 |
12 |
|
58 |
0.5298 |
0.5284 |
0.5270 |
0.5255 |
0.5240 |
0.5225 |
0.5210 |
0.5195 |
0.5180 |
0.5165 |
2 |
5 |
7 |
10 |
12 |
|
59 |
0.5149 |
0.5135 |
0.5120 |
0.5105 |
0.5090 |
0.5075 |
0.5060 |
0.5045 |
0.5030 |
0.5015 |
3 |
5 |
8 |
10 |
13 |
|
60 |
0.4999 |
0.4985 |
0.4970 |
0.4955 |
0.4939 |
0.4924 |
0.4909 |
0.4894 |
0.4879 |
0.4863 |
3 |
5 |
8 |
10 |
13 |
|
61 |
0.4847 |
0.4833 |
0.4818 |
0.4802 |
0.4787 |
0.4772 |
0.4756 |
0.4741 |
0.4726 |
0.4710 |
3 |
5 |
8 |
10 |
13 |
|
62 |
0.4693 |
0.4679 |
0.4664 |
0.4648 |
0.4633 |
0.4617 |
0.4602 |
0.4586 |
0.4571 |
0.4555 |
3 |
5 |
8 |
10 |
13 |
|
63 |
0.4539 |
0.4524 |
0.4509 |
0.4493 |
0.4478 |
0.4462 |
0.4446 |
0.4431 |
0.4415 |
0.4399 |
3 |
5 |
8 |
10 |
13 |
|
64 |
0.4383 |
0.4368 |
0.4352 |
0.4337 |
0.4321 |
0.4305 |
0.4289 |
0.4274 |
0.4258 |
0.4242 |
3 |
5 |
8 |
11 |
13 |
|
65 |
0.4225 |
0.4210 |
0.4195 |
0.4179 |
0.4163 |
0.4147 |
0.4131 |
0.4115 |
0.4099 |
0.4083 |
3 |
5 |
8 |
11 |
13 |
|
66 |
0.4066 |
0.4051 |
0.4035 |
0.4019 |
0.4003 |
0.3987 |
0.3971 |
0.3955 |
0.3939 |
0.3923 |
3 |
5 |
8 |
11 |
14 |
|
67 |
0.3906 |
0.3891 |
0.3875 |
0.3859 |
0.3843 |
0.3827 |
0.3811 |
0.3795 |
0.3778 |
0.3762 |
3 |
5 |
8 |
11 |
14 |
|
68 |
0.3745 |
0.3730 |
0.3714 |
0.3697 |
0.3681 |
0.3665 |
0.3649 |
0.3633 |
0.3616 |
0.3600 |
3 |
5 |
8 |
11 |
14 |
|
69 |
0.3583 |
0.3567 |
0.3551 |
0.3535 |
0.3518 |
0.3502 |
0.3486 |
0.3469 |
0.3453 |
0.3437 |
3 |
5 |
8 |
11 |
14 |
|
70 |
0.3419 |
0.3404 |
0.3387 |
0.3371 |
0.3355 |
0.3338 |
0.3322 |
0.3305 |
0.3289 |
0.3272 |
3 |
5 |
8 |
11 |
14 |
|
71 |
0.3255 |
0.3239 |
0.3223 |
0.3206 |
0.3190 |
0.3173 |
0.3156 |
0.3140 |
0.3123 |
0.3107 |
3 |
6 |
8 |
11 |
14 |
|
72 |
0.3089 |
0.3074 |
0.3057 |
0.3040 |
0.3024 |
0.3007 |
0.2990 |
0.2974 |
0.2957 |
0.2940 |
3 |
6 |
8 |
11 |
14 |
|
73 |
0.2923 |
0.2907 |
0.2890 |
0.2874 |
0.2857 |
0.2840 |
0.2823 |
0.2807 |
0.2790 |
0.2773 |
3 |
6 |
8 |
11 |
14 |
|
74 |
0.2756 |
0.2740 |
0.2723 |
0.2706 |
0.2689 |
0.2672 |
0.2656 |
0.2639 |
0.2622 |
0.2605 |
3 |
6 |
8 |
11 |
14 |
|
75 |
0.2587 |
0.2571 |
0.2554 |
0.2538 |
0.2521 |
0.2504 |
0.2487 |
0.2470 |
0.2453 |
0.2436 |
3 |
6 |
8 |
11 |
14 |
|
76 |
0.2418 |
0.2402 |
0.2385 |
0.2368 |
0.2351 |
0.2334 |
0.2317 |
0.2300 |
0.2284 |
0.2267 |
3 |
6 |
8 |
11 |
14 |
|
77 |
0.2249 |
0.2233 |
0.2215 |
0.2198 |
0.2181 |
0.2164 |
0.2147 |
0.2130 |
0.2113 |
0.2096 |
3 |
6 |
9 |
11 |
14 |
|
78 |
0.2078 |
0.2062 |
0.2045 |
0.2028 |
0.2011 |
0.1994 |
0.1977 |
0.1959 |
0.1942 |
0.1925 |
3 |
6 |
9 |
11 |
14 |
|
79 |
0.1907 |
0.1891 |
0.1874 |
0.1857 |
0.1840 |
0.1822 |
0.1805 |
0.1788 |
0.1771 |
0.1754 |
3 |
6 |
9 |
11 |
14 |
|
80 |
0.1736 |
0.1719 |
0.1702 |
0.1685 |
0.1668 |
0.1650 |
0.1633 |
0.1616 |
0.1599 |
0.1582 |
3 |
6 |
9 |
12 |
14 |
|
81 |
0.1564 |
0.1547 |
0.1530 |
0.1513 |
0.1495 |
0.1478 |
0.1461 |
0.1444 |
0.1426 |
0.1409 |
3 |
6 |
9 |
12 |
14 |
|
82 |
0.1391 |
0.1374 |
0.1357 |
0.1340 |
0.1323 |
0.1305 |
0.1288 |
0.1271 |
0.1253 |
0.1236 |
3 |
6 |
9 |
12 |
14 |
|
83 |
0.1218 |
0.1201 |
0.1184 |
0.1167 |
0.1149 |
0.1132 |
0.1115 |
0.1097 |
0.1080 |
0.1063 |
3 |
6 |
9 |
12 |
14 |
|
84 |
0.1045 |
0.1028 |
0.1011 |
0.0993 |
0.0976 |
0.0958 |
0.0941 |
0.0924 |
0.0906 |
0.0889 |
3 |
6 |
9 |
12 |
14 |
|
85 |
0.0871 |
0.0854 |
0.0837 |
0.0819 |
0.0802 |
0.0785 |
0.0767 |
0.0750 |
0.0732 |
0.0715 |
3 |
6 |
9 |
12 |
14 |
|
86 |
0.0697 |
0.0680 |
0.0663 |
0.0645 |
0.0628 |
0.0610 |
0.0593 |
0.0576 |
0.0558 |
0.0541 |
3 |
6 |
9 |
12 |
15 |
|
87 |
0.0523 |
0.0506 |
0.0488 |
0.0471 |
0.0454 |
0.0436 |
0.0419 |
0.0401 |
0.0384 |
0.0366 |
3 |
6 |
9 |
12 |
15 |
|
88 |
0.0349 |
0.0332 |
0.0314 |
0.0297 |
0.0279 |
0.0262 |
0.0244 |
0.0227 |
0.0209 |
0.0192 |
3 |
6 |
9 |
12 |
15 |
|
89 |
0.0174 |
0.0157 |
0.0140 |
0.0122 |
0.0105 |
0.0087 |
0.0070 |
0.0052 |
0.0035 |
0.0017 |
3 |
6 |
9 |
12 |
15 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|