
книги из ГПНТБ / Хренов, Л. С. Четырехзначные математические таблицы пособие для учителей
.pdfТаблица V.
Логарифмы разностей (для вычисления разности чисел по логарифмам этих чисел)
А |
АО |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
0,95 |
0,0517 |
0516 |
0514 |
0513 |
0512 |
0511 |
0509 |
0508 |
0507 |
0506 |
|
96 |
0,0504 |
0503 |
0502 |
0501 |
0499 |
0498 |
0497 |
0496 |
0495 |
0493 |
|
97 |
0,0492 |
0491 |
0490 |
0489 |
0487 |
0486 |
0485 |
0484 |
0483 |
0482 |
|
0,98 |
0,0480 |
0479 |
0478 |
0477 |
0476 |
0475 |
0473 |
0472 |
0471 |
0470 |
|
99 |
0,0469 |
0468 |
0467 |
0465 |
0464 |
0463 |
0462 |
0461 |
0460 |
0459 |
|
1,00 |
0,0458 |
0456 |
0455 |
0454 |
0453 |
0452 |
0451 |
0450 |
0449 |
0448 |
|
1,01 |
0,0447 |
0446 |
0444 |
0443 |
0442 |
0441 |
0440 |
0439 |
0438 |
0437 |
|
02 |
0,0436 |
0435 |
0434 |
0433 |
0432 |
0431 |
0430 |
0429 |
0428 |
0427 |
|
03 |
0,0425 |
0424 |
0423 |
0422 |
0421 |
0420 |
0419 |
0418 |
0417 |
0416 |
|
1,04 |
0,0415 |
0414 |
0413 |
0412 |
0411 |
0410 |
0409 |
0408 |
0407 |
0406 |
|
05 |
0,0405 |
0404 |
0403 |
0402 |
0402 |
0401 |
0400 |
0399 |
0398 |
0397 |
|
06 |
0,0396 |
0395 |
0394 |
0393 |
0392 |
0391 |
0390 |
0389 |
0388 |
0387 |
|
1,07 |
0,0386 |
0385 |
0384 |
0384 |
0383 |
0382 |
0381 |
0380 |
0379 |
0378 |
|
08 |
0.0377 |
0376 |
0375 |
0374 |
0374 |
0373 |
0372 |
0371 |
0370 |
0369 |
|
09 |
0,0368 |
0367 |
0366 |
0366 |
0365 |
0364 |
0363 |
0362 |
0361 |
0360 |
|
1,10 |
0,0359 |
0359 |
0358 |
0357 |
0356 |
0355 |
0354 |
0353 |
0353 |
0352 |
|
20 |
0,0283 |
0282 |
0282 |
0281 |
0280 |
0280 |
0279 |
0278 |
0278 |
0277 |
|
30 |
0,0223 |
0223 |
0222 |
0222 |
0221 |
0221 |
0220 |
0220 |
0219 |
0219 |
|
1,40 |
0,0176 |
0176 |
0176 |
0175 |
0175 |
0174 |
0174 |
0174 |
0173 |
0173 |
|
5 |
|||||||||||
|
|
10 |
0136 |
0133 |
0130 |
0127 |
0194 |
0191 |
0118 |
0116 |
0113 |
6 |
о омо |
0098 |
|||||||||
о ’о і |
|
0108 |
0105 |
0103 |
0101 |
0096 |
0094 |
0092 |
0090 |
||
9 |
0,0088 |
0086 |
0084 |
0082 |
0080 |
0078 |
0076 |
0074 |
0073 |
0071 |
|
1,7 |
0,0069 |
0068 |
0066 |
0065 |
0063 |
0061 |
0060 |
0059 |
0058 |
0056 |
|
8 |
|||||||||||
|
0,0055 |
0054 |
0053 |
0051 |
0050 |
0049 |
0048 |
0047 |
0046 |
0045 |
|
2,0 |
0,0044 |
0043 |
0042 |
0041 |
0040 |
0039 |
0038 |
0037 |
0036 |
0035 |
|
1 |
0,0035 |
0034 |
0033 |
0032 |
0032 |
0031 |
0030 |
0029 |
0029 |
0028 |
|
2 |
0,0027 |
0027 |
0026 |
0026 |
0025 |
0024 |
0024 |
0023 |
0023 |
0022 |
|
5 |
0,0022 |
0021 |
0021 |
0020 |
0020 |
0019 |
0019 |
0019 |
0018 |
0018 |
|
2,3 |
0,0017 |
0017 |
0017 |
0016 |
0016 |
0015 |
0015 |
0015 |
0014 |
0014 |
|
4 |
|||||||||||
2,6 |
0,0014 |
0013 |
0013 |
0013 |
0013 |
0012 |
0012 |
0012 |
ООП |
ООП |
|
7 |
0,0011 |
ООП 0010 0010 0010 0010 |
0010 |
0009 |
0009 |
0009 |
|||||
8 |
0,0009 |
0008 |
0008 |
0008 |
0008 |
0008 |
0008 |
0007 |
0007 |
0007 |
|
0,0007 |
0007 |
0007 |
0006 |
0006 |
0006 |
0006 |
0006 |
0006 |
0006 |
||
2,9 |
0,0005 |
0005 |
0005 |
0005 |
0005 |
0005 |
0005 |
0005 |
0005 |
0004 |
|
3,0 |
0,0004 |
0004 |
0004 |
0004 |
0004 |
0004 |
0004 |
0004 |
0004 |
0004 |
Р.р.
1 |
|
|
4 |
|
, 2 |
||
2 |
0,4 |
||
0 |
, 8 |
||
3 |
I |
|
|
4 |
1 , 6 |
||
2 |
, 0 |
||
5 |
2 |
,, |
4 |
6 |
2 |
8 |
|
7 |
|
|
|
3 |
3 , 6 |
||
9 |
|||
|
|
|
3 |
20 . 6
30 9
41 j 2
51 , 5
61 . 8
72 , 1
82 , 4
|
|
|
2 |
1 |
0 , 2 |
||
3 |
0 |
, 4 |
|
0 |
, 6 |
||
0 |
, 8 |
||
6 |
1 , 0 |
||
5 |
1 , 2 |
||
7 |
1 , 4 |
||
1 , 6 |
|||
8 |
1 , 8 |
||
9 |
|||
|
|
|
1 |
1 |
0 , 1 |
||
2 |
0 |
|
2 |
4 |
оіз, |
||
3 |
0 , 4 |
||
5 |
0 |
, 5 |
|
0 |
0 |
, 6 |
|
7 |
0 , 7 |
||
8 |
0 |
,, |
8 |
9 |
0 |
9 |
70
|
|
|
|
|
|
Т а бл и ца |
|
VI. |
чисел |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||
|
|
|
|
Натуральные |
логарифмы |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||||
|
|
|
|
|
|
1 ,0 0 — 4 ,0 0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||
N |
0 1 2 3 |
4 |
|
5 |
6 |
|
7 |
8 9 |
|
|
|
|
|
|
|
Р . р . |
|
|
|
|
||||||||
1,0 |
O.GOOO |
0100 |
0198 |
0296 |
0392 |
0488 |
0583 |
|
0677 |
0770 |
0862 |
|
|
9 0 |
|
|
8 0 |
|
|
7 0 |
|
0 0 |
||||||
і,і |
0,0953 1044 |
1133 |
1222 |
1310 |
1398 |
1484 |
|
1570 |
1655 |
1740 |
|
|
|
|
|
|
|
|||||||||||
|
9 |
|
|
|
0 |
|
8 , 0 |
|
7 , 0 |
|
|
|
||||||||||||||||
1,2 |
0,1823 |
1906 |
1989 |
2070 |
2151 |
|
2231 |
2311 |
|
2390 |
2469 |
2546 |
£ |
1 8 |
, |
С |
1 6 |
, С |
1 4 , 0 |
1 2 , 0 |
||||||||
1,3 |
0,262-1 2700 |
2776 |
2852 |
2927 |
3001 |
3075 |
|
3148 |
3221 |
3293 |
1 |
|
9 |
, |
3 2 |
|
|
|
|
6 , 0 |
||||||||
|
А 3 6 , |
2 , 0 2 4 , 0 |
||||||||||||||||||||||||||
|
|
2 7 |
|
0 |
2-1 |
,лС |
21 , 0 1 8 , 0 |
|||||||||||||||||||||
|
5 |
4 5 |
f с |
4 |
|
3 5 , 0 |
3 0 , 0 |
|||||||||||||||||||||
1,4 |
0,3365 3436 |
3507 |
3577 |
3646 |
3716 |
3784 |
|
3853 |
3920 |
3988 |
6 |
5 4 |
|
|
4 8 , 0 |
|
4 2 , 0 |
3 6 . 0 |
||||||||||
1,5 |
0,4055 4121 |
4187 |
4253 |
4318 |
4383 |
4447 |
|
4511 |
4574 |
4637 |
7 |
6 3 ,, |
0С |
5 6С |
, с |
|
S |
|
|
|
|
|||||||
1,6 |
|
8 |
7 2 ,,0С |
64 |
, 0 |
5 6 , 0 |
4 8 , 0 |
|||||||||||||||||||||
1,7 |
0,4700 4762 |
4824 |
4886 |
4947 |
5008 |
5068 |
|
5128 |
5188 |
5247 |
9 |
8 1 |
, 0 |
V |
I |
, 0 |
6 3 , 0 |
5 4 , 0 |
||||||||||
0,5306 5365 |
5423 |
5481 |
5539 |
5596 |
5653 |
|
5710 |
5766 |
5822 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||||
1,8 |
0,5878 5933 |
5988 |
6043 |
6098 |
6152 |
6206 |
|
6259 |
6313 |
6366 |
|
|
5 0 |
|
|
4 0 |
|
|
3 0 |
|
2 0 |
|||||||
1.9 0,6419 6471 |
6523 |
6575 |
6627 |
6678 |
6729 |
|
6780 |
6831 |
6881 |
1 |
|
5 |
, |
0 |
|
4 , 0 |
|
|
3 , 0 |
|
2 . 0 |
|||||||
2,0 |
0,6931 6981 |
7031 |
7080 |
7129 |
7178 |
7227 |
|
7275 |
7324 |
7372 |
3 |
1 5 |
, |
0 |
1 2 , 0 |
|
|
9 , 0 |
|
6 , 0 |
||||||||
2,1 |
0,7419 7467 |
7514 |
7561 |
7G08 |
7655 |
7701 |
|
7747 |
7793 |
7839 |
2 |
1 0 , 0 |
8 |
, |
|
|
6 , 0 |
|
4 , 0 |
|||||||||
|
4 |
2 0 , |
0 |
1 6 , 0о |
1 2 , 0 |
|
8 , 0 |
|||||||||||||||||||||
2,2 |
0,7885 7930 |
7975 |
8020 |
8065 |
8109 |
8154 |
|
8198 |
8242 |
8286 |
7 |
3 5 , 0 |
2 8 , 0 |
|
2 1 , 0 |
1 4 , 0 |
||||||||||||
2,3 |
0,8329 8372 |
8416 |
8459 |
8502 |
8544 |
8587 |
|
8629 |
8671 |
8713 |
5 |
2 5 |
, |
0 |
2 0 , 0 |
|
1 5 , 0 |
1 0 , 0 |
||||||||||
|
6 |
3 0 |
, |
3 |
2 4 , 0 |
|
1 8 , 0 1 2 , 0 |
|||||||||||||||||||||
|
8 |
4 0 , 0 |
3 2 |
, 0 |
|
2 4 . 0 |
1 6 , 0 |
|||||||||||||||||||||
2,4 |
0,8755 8796 |
8838 |
8879 |
8920 |
8961 |
9002 |
|
9042 |
9083 |
9123 |
9 |
4 5 , 0 |
3 6 , 0 |
|
2 |
7 , 0 |
1 |
S |
, 0 |
|||||||||
2,5 |
0,9163 9203 |
9243 |
9282 |
9322 |
9361 |
9400 |
|
9439 |
9478 |
9517 |
|
|
|
|
|
2 |
|
|
3 |
|
|
4 |
|
5 |
||||
2,6 |
0,9555 9594 |
9632 |
9670 |
9708 |
9746 |
9783 |
|
9821 |
9858 |
9895 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|||
2,7 |
0,9933 9969 •0006 *0043 |
•0080 |
•0116 |
•0152 |
•0188 •0225 •0260 |
1 0 , 1 0 |
0 |
|
, |
3 |
0 , 4 |
|
0 , 5 |
|||||||||||||||
2,8 |
1,0296 0332 |
0367 |
0403 |
0438 |
0473 |
0508 |
|
0543 |
0578 |
0613 |
3 |
0 , 3 |
|
0 , 6 |
|
о |
|
9 |
|
|
|
1 , 5 |
||||||
2,9 |
1,0647 0682 |
0716 |
0750 |
0784 |
0818 |
0852 |
|
0886 |
0919 |
0953 |
2 |
0 , 2 |
|
0 , 4 |
|
0 |
, |
6 |
О |
,Д |
|
|
|
|||||
|
5 0 , 5 |
|
|
, 0 |
о |
,, |
5 |
|
2 , 5 |
|||||||||||||||||||
3,0 |
1,0986 1019 |
1053 |
1086 |
1119 |
1151 |
1184 |
|
1217 |
1249 |
1282 |
|
1 |
|
2 |
|
|
||||||||||||
|
6 |
0 , 6 |
|
^ 2 |
1I . |
8 |
2 , 4 |
3 , 0 |
||||||||||||||||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
0 , 4 0 , 8 |
|
1 |
|
|
1 , 6 |
|
2 , 0 |
||||||
3,1 |
1,1314 |
1346 |
1378 |
1410 |
1442 |
1474 |
1506 |
|
1537 |
1569 |
1600 |
7 |
0 , 7 |
|
|
, 4 |
,, |
|
|
С |
3 , 5 |
|||||||
|
|
|
2 |
4 |
|
|||||||||||||||||||||||
|
8 |
0 , 8 |
|
|
, 6 |
2 |
3 , 2 |
|
4 , 0 |
|||||||||||||||||||
3,2 |
1,1632 1663 |
1694 |
1725 |
1756 |
1787 |
1817 |
|
1848 |
1878 |
1909 |
9 |
0 , 9 |
|
1 , 8 |
|
2 |
, |
1 |
2 , 8 |
4 , 5 |
||||||||
3,3 1,1939 1969 2000 2030 |
2060 |
2090 |
2119 |
2149 |
2179 |
2208 |
|
|
|
|
|
|
|
|
, |
7 |
|
|
|
|
|
|||||||
3,4 |
1,2238 2267 |
2296 |
2326 |
2355 |
2384 |
2413 |
2442 |
2470 |
2499 |
|
|
6 |
|
|
|
7 |
7 |
|
0 ,88 |
|
|
9 |
|
|||||
3,5 |
I ,2528 2556 |
2585 |
2613 |
2641 |
2669 |
2698 |
2726 |
2754 |
2782 |
, |
0 , 6 |
|
0 , |
|
10 , 9 |
|||||||||||||
3,6 |
1,2809 2837 |
2865 |
2892 |
2920 |
2947 |
2975 |
3002 3029 3056-2 |
1 , 2 |
|
1 |
|
4 |
|
1 , 6 |
1 , 8 |
|||||||||||||
3,7 |
1,3083 3110 |
3137 |
3164 |
3191 |
3218 |
3244 |
3271 |
3297 |
3324 |
4 |
2 , 4 |
|
2 ,, 8 |
|
3 , 2 |
|
3 , 6 |
|||||||||||
3,8 |
1,3350 3376 |
3403 |
3429 |
3455 |
3481 |
3507 |
3533 |
3558 |
3584 |
3 |
1 , 8 |
|
2 |
, |
1 |
|
2 |
, 4 |
2 , 7 |
|||||||||
5 |
3 |
|
|
|
3 |
, |
2 |
|
4 , 0 |
|
4 , 5 |
|||||||||||||||||
3,9 |
1,3610 3635 |
3661 |
3686 |
3712 |
3737 |
3762 |
3788 |
3813 |
3838 |
|
4 , 2с |
|
4 |
, |
9 |
|
5 |
, 6 |
|
|
|
|||||||
4,0 |
1,3863 3888 |
3913 |
3938 |
3962 |
3987 |
4012 |
4036 |
4061 |
4085 |
|
|
, |
|
|
4 |
, |
5 |
|
4 , 3 |
|
5 , 4 |
|||||||
3 3 , 6 |
|
, |
63 |
|
|
|||||||||||||||||||||||
7 |
4 , 6 |
|
5 |
|
6 |
, 4 |
|
7 , 2 |
||||||||||||||||||||
N 0 1 2 |
3 |
4 |
5 |
6 |
|
7 |
8 |
9 |
9б |
5 , 4 |
|
|
|
|
7 , 2 |
|
|
|
|
|||||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3 |
|
|
|
|
6 , |
|
|
|
|
|
8 , 1 |
|||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|||||
|
1 |
1 |
2 |
3 |
1 |
1 ,00 — 4 ,0 0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
|
|
||||
" |
4 |
1 |
5 |
1 |
6 |
|
7 |
|
|
|
|
|
8 |
|
|
|
|
|
|
|
|
|||||||
Іи 10" |
I 2 , 3 0 2 6 I - 1 , 0 0 5 2 [ 6 , 9 0 7 8 |
I 9 , 2 1 0 3 |
| 11 |
, 5 1 2 9 |
1 1 3 , 8 1 5 5 1 1 6 , 1 |
1 8 1 |
1 1 8 , 4 2 0 7 |
| 2 . 0 , 7 2 3 3 |
71
Таблица VI.
Натуральные логарифмы чисел
4 ,0 0 — 7 ,0 0
N |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
|
|
Р . р . |
|
|
|
|
|
||||
4,0 |
1,3863 |
3888 |
3913 |
3938 |
3962 |
3987 |
4012 |
4036 |
4061 |
4085 |
|
1 |
2 5 |
1 24 |
1 23 |
||||||||
4,1 |
1,4110 |
4134 |
4159 |
4183 |
4207 |
4231 |
4255 |
4279 |
4303 |
4327 |
|
|
|
||||||||||
4,2 |
1,4351 |
4375 |
4398 |
4422 |
4446 |
4469 |
4493 |
4516 |
4540 |
4563 |
2 |
|
2. 5 |
|
4 , 8 |
2, 3 |
|||||||
4,3 |
1,4586 |
4609 4633 4656 4679 4702 4725 |
4748 |
4770 |
4793 |
|
5, 0 |
|
4 .6 |
||||||||||||||
3 |
|
7. 5 |
|
7, 2 |
6, 9 |
||||||||||||||||||
4,4 |
1,4816 |
4839 4861 4884 4907 4929 4951 |
4974 |
4996 |
5019 |
4 |
10,0 |
|
9, 6 |
9 , 2 |
|||||||||||||
4,5 |
1,5041 |
5063 |
5085 |
5107 |
5129 |
5151 |
5173 |
5195 |
5217 |
5239 |
5 |
12,5 |
12,0 |
11,5 |
|||||||||
|
|
|
|
|
|
|
|
|
|
|
6 |
15,0 |
14, ‘1 13 |
|
8 |
||||||||
4,6 |
1,5261 |
5282 |
5304 |
5326 |
5347 |
5369 |
5390 |
5412 |
5433 |
5454 |
7 |
17,5 |
16, 8 |
16, |
1 |
||||||||
9 |
|||||||||||||||||||||||
8 |
20, 0 |
19,2 |
18,4 |
||||||||||||||||||||
4,7 |
1,5476 |
5497 |
551S |
5539 |
5560 |
5581 |
5602 |
5623 |
5644 |
5665 |
|
22, 5 |
21 ,6 |
20, 7 |
|||||||||
4.8 |
1,5686 |
5707 5728 5748 5769 5790 5810 |
583! |
5851 |
5872 |
|
|
22 |
|
2 1 |
; 20 |
||||||||||||
4.9 |
1,5892 |
5913 5933 5953 5974 5994 6014 |
6034 |
6054 |
6074 |
|
|
9 |
9 |
|
|
|
, 2 |
2 |
',0 |
||||||||
5,0 |
1,6094 |
6114 6134 6154 6174 6194 6214 |
6233 |
6253 |
6273 |
2 |
|
4 ’ 4 |
|
2 , I |
|
0 |
|||||||||||
5,1 |
1,6292 |
6312 |
6332 |
6351 |
6371 |
6390 |
6409 |
6429 |
6448 |
6467 |
|
|
4 |
|
|
3 |
4 |
|
|
|
|||
|
|
|
|
|
|
|
|
|
|
|
3 |
|
6, 6 |
|
G |
|
|
6, 0 |
|||||
5,2 |
1,6487 |
6506 |
6525 |
6544 |
6563 |
6582 |
6601 |
6620 |
6639 |
6658 |
4 |
|
8, 8 |
|
8 , |
4 |
8, 0 |
||||||
G |
11,0 |
10,5 |
10 |
|
0 |
||||||||||||||||||
5,3 |
1,6677 |
6696 |
6715 |
6734 |
6752 |
6771 |
6790 |
6808 |
6827 |
6845 |
1з |
,; 2 |
12, 6 |
12,0 |
|||||||||
5,4 |
1,6864 |
6882 |
6901 |
6919 |
6938 |
6956 |
6974 |
6993 |
7011 |
7029 |
7 |
1 5 |
-1 |
1 4 . 7 |
1 4 . 0 |
||||||||
8 |
1 0 , 8 |
1 6 . 8 1 6 . 0 |
|||||||||||||||||||||
5,5 |
1,7047 |
7066 |
7084 |
7102 |
7120 |
7138 |
7156 |
7174 |
7)92 |
7210 |
1 7 , 6 |
||||||||||||
|
19 |
|
18 |
|
17 |
|
|||||||||||||||||
5,6 |
1,7228 |
7246 |
7263 |
7281 |
7299 |
7317 |
7334 |
7352 |
7370 |
7387 |
|
|
|
|
|
|
|
|
|
|
|
|
|
5,7 |
1,7405 |
7422 |
7440 |
7457 |
7475 |
7492 |
7509 |
7527 |
7544 |
7561 |
I |
|
і |
, 9 |
|
5I |
, 8 |
1 |
, |
|
7 |
||
5,8 |
1,7579 |
7596 |
7613 |
7630 |
7647 |
7664 |
7681 |
7699 |
7716 |
7733 |
|
7 |
|
|
|
4 |
5 |
|
1 |
||||
5,9 |
1,7550 |
7766 |
7783 |
7800 |
7817 |
7834 |
7851 |
7867 |
7884 |
7901 |
2 |
|
3 , 8 |
|
3 , 6 |
|
|
|
|
||||
|
S |
|
|
9 , 0 |
8 , 5 |
||||||||||||||||||
5 |
|
9 , 5 |
|
||||||||||||||||||||
66,0,1 |
1,7918 |
7934 |
7951 |
7967 |
7984 |
8001 |
8017 |
8034 |
8050 |
8066 |
‘1 |
|
7 , 6 |
|
7 , 2 |
e i s |
|||||||
6 |
1 1 , 4 |
1 о |
|
|
|
||||||||||||||||||
|
1,8083 |
8099 |
8116 |
8132 |
8148 |
8165 |
8181 |
8197 |
8213 |
8229 |
15 ', 2 |
|
0 , 8 |
1 0 , 2 |
|||||||||
|
1 4 , 4г> |
1 3 , 6 |
|||||||||||||||||||||
|
9 |
1 7 , 1 |
1 6 , 2 |
1 5 , 3 |
|||||||||||||||||||
6,2 |
1,8245 |
8262 |
8278 |
8294 |
8310 |
8326 |
8342 |
8358 |
8374 |
8390 |
8 |
|
|
|
1 |
|
|
|
|
1 1 |
|
|
9 |
6,3 |
1,8405 |
8421 |
8437 |
8453 |
8469 |
8485 |
8500 |
8516 |
8532 |
8547 |
|
|
|
|
|
|
|
|
|
|
|
|
|
6,4 |
1,8563 |
8579 |
8594 |
8610 |
8625 |
8641 |
8656 |
8672 |
8687 |
8703 |
|
|
16 |
|
15 |
|
|
14 |
|
|
|||
6,5 |
1,8718 |
8733 8749 8764 8779 8795 8810 |
8825 |
8840 |
8856 |
|
|
1 , 6 |
|
1 , 5 |
|
, 4 |
|||||||||||
6,6 |
1,8871 |
8886 |
8901 |
8916 |
8931 |
8946 |
8961 |
8976 |
8991 |
9006 |
1 |
|
3 , 2 |
|
3 , 0 |
2 , 8 |
|||||||
|
|
|
|
|
|
|
|
|
|
|
|
6 , 4 |
|
|
|
|
|
1 |
|
|
|
||
6,7 |
1,9021 |
9036 |
9051 |
9066 |
9081 |
9095 |
9110 |
9125 |
9140 |
9155 |
2 |
|
|
7 ,, |
5 |
5 , 6 |
|||||||
5 |
|
8 ,,0 |
|
7 ,, |
0 |
||||||||||||||||||
6,8 |
1,9169 |
9184 9199 9213 9228 9242 9257 |
9272 |
9286 |
9301 |
3 |
|
4 |
8 |
|
4 |
|
|
5 |
4 |
|
|
2 |
|||||
G |
9 , 6 |
|
9 , 0 |
8 , 4 |
|||||||||||||||||||
6,9 |
1,9315 |
9330 |
9344 |
9359 |
9373 |
9387 |
9402 |
9416 |
9430 |
9445 |
1 1 , 2 |
1 0 , 5 |
9 , 8 |
||||||||||
7,0 |
1,9459 |
9473 |
9488 |
9502 |
9516 |
9530 |
9544 |
9559 |
9573 |
9587 |
7 |
1 2 , 8 |
|||||||||||
9 |
1 3 , 5 |
1 2 , 6 |
|||||||||||||||||||||
|
|
|
2 |
|
4 |
5 |
|
7 |
8 |
|
8 |
1 2 , 0 |
11,2 |
||||||||||
N |
0 |
1 |
3 |
6 |
9 |
|
|
|
|
|
|
|
|
|
|||||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
|||||||||||
|
|
|
|
|
4 ,0 0 — 7 ,0 0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
In 1 0 ” 1 2 , 3 0 2 6 1 4 , 6 0 5 2 1 6 . 9 0 7 8 1 9 , 2 1 0 3 1 1 1 , 5 1 2 9 | 1 3 , 8 1 5 5 І 1 6 , 1 1 8 1 1 1 8 , 4 2 0 7 | 2 0 , 7 2 3 3
72
Таблица VI.
Натуральные логарифмы чисел
7 , 0 0 - -1 0 ,0 0
N |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
7,0 |
1,9459 |
9473 |
94S8 |
9502 |
9516 |
9530 |
9544 |
9559 |
9573 |
9587 |
7,1 |
1,9601 |
9615 |
9629 |
9643 |
9657 |
9671 |
9685 |
9699 |
9713 |
9727 |
7,2 |
1,9741 |
9755 |
9769 |
9782 |
9796 |
9810 |
9824 |
9838 |
9851 |
9865 |
7,3 |
1,9879 |
9892 |
9906 |
9920 |
9933 |
9947 |
9961 |
9974 |
9988 |
*0001 |
7,4 |
2.0015 |
0028 |
0042 |
0055 |
0069 |
0082 |
0096 |
0109 |
0122 |
0136 |
7,5 |
2,0149 |
0162 |
0176 |
0189 |
0202 |
0215 |
0229 |
0242 |
0255 |
0268 |
7,6 |
2,0281 |
0293 |
0308 |
0321 |
0334 |
0347 |
0360 |
0373 |
0386 |
0399 |
7,7 |
2,0412 |
0425 |
0438 |
0451 |
0464 |
0477 |
0490 |
0503 |
0516 |
0528 |
7,8 |
2,0541 |
0554 |
0567 |
0580 |
0592 |
0605 |
0618 |
0631 |
0643 |
0656 |
7,9 |
2,0669 |
0681 |
0694 |
0707 |
0719 |
0732 |
0744 |
0757 |
0769 |
0782 |
8,0 |
2.0794 |
0807 |
0819 |
0832 |
0844 |
0857 |
0869 |
0882 |
0894 |
0906 |
8,1 |
2,0919 |
0931 |
0943 |
0956 |
0968 |
0980 |
0992 |
1005 |
1017 |
1029 |
8,2 |
2,1041 |
1054 |
1066 |
1078 |
1090 |
1102 |
1114 |
1126 |
1138 |
1150 |
8.3 |
2,1163 |
1175 |
1187 |
1199 |
1211 |
1223 |
1235 |
1247 |
1258 |
1270 |
8.4 |
2,1282 |
1294 |
1306 |
1318 |
1330 |
1342 |
1353 |
1365 |
1377 |
1389 |
8,5 |
2,1401 |
1412 |
1424 |
1436 |
1448 |
1459 |
1471 |
1483 |
1494 |
1506 |
8,6 |
2,1518 |
1529 |
1541 |
1552 |
1564 |
1576 |
1587 |
1599 |
1610 |
1622 |
8,7 |
2,1633 |
1645 |
1656 |
1668 |
1679 |
1691 |
1702 |
1713 |
1725 |
1736 |
8,8 |
2,1748 |
1759 |
1770 |
1782 |
1793 |
1804 |
1815 |
1827 |
1838 |
1849 |
8,9 |
2,1861 |
1872 |
1883 |
1894 |
1905 |
1917 |
1928 |
1939 |
1950 |
1961 |
9,0 |
2,1972 |
1983 |
1994 |
2006 |
2017 |
2028 |
2039 |
2050 |
2061 |
2072 |
9,1 |
2,2083 |
2094 |
2105 |
2116 |
2127 |
2138 |
2148 |
2159 |
2170 |
2181 |
9,2 |
2,2192 |
2203 |
2214 |
2225 |
2235 |
2246 |
2257 |
2268 |
2279 |
2289 |
9,3 |
2,2300 |
2311 |
2322 |
2332 |
2343 |
2354 |
2364 |
2375 |
2386 |
2396 |
9,4 |
2,2407 |
2418 |
2428 |
2439 |
2450 |
2460 |
2471 |
2481 |
2492 |
2502 |
9.5 |
2,2513 |
2523 |
2534 |
2544 |
2555 |
2565 |
2576 |
2586 |
2597 |
2607 |
9.6 |
2,2618 |
2628 |
2638 |
2649 |
2659 |
2670 |
2680 |
2690 |
2701 |
2711 |
9,7 |
2,2721 |
2732 |
2742 |
2752 |
2762 |
2773 |
2783 |
2793 |
2803 |
2814 |
9,8 |
2,2824 |
2834 |
2844 |
2854 |
2865 |
2875 |
2885 |
2895 |
2905 |
2915 |
9,9 |
2,2925 |
2935 |
2946 |
2956 |
2966 |
2976 |
2986 |
2996 |
3006 |
3016 |
10,0 |
2,3026 |
__ |
__ |
__ |
_ |
__ |
__ |
__ |
__ |
__ |
|
P .p .
1 |
I 5 |
14 |
! ,5 |
1,4 |
|
4 |
3,0 |
|
23 |
2,8 |
|
5 |
4,5 |
4,2 |
|
G, 0 |
5. G |
6 |
7,5 |
7,0 |
9,0 |
8,4 |
|
7 |
10.5 |
9,8 |
9 |
12,0 |
11,2 |
13.5 |
12 , G |
|
13 |
12 |
2 |
1,3 |
1,2 |
2,6 |
2,4 |
|
3 |
3,9 |
3,6 |
4 |
5,2 |
4,8 |
5 |
6,5 |
6,0 |
0 |
7,8 |
7,2 |
7 |
9 , 1 |
8,4 |
8 |
10,4 |
9,6 |
9 |
11,7 |
10,3 |
|
11 |
10 |
1 |
1, 1 |
1,0 |
2 |
2,2 |
2,0 |
43 |
3,3 |
3,0 |
5 |
4,4 |
4,0 |
5.5 |
5.0 |
|
6 |
6.6 |
6.0 |
7 |
7.7 |
7 j 0 |
8 |
8.8 |
8,0 |
9 |
9,9 |
9,0 |
N 0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 . 8 |
|
9 |
|
|
|
|
||||||||
|
1 2 |
|
3 |
7 ,0 0 — 1 0,00 |
6 |
7 |
S |
Э |
||
п |
|
|
4 | |
5 |
||||||
І и 1 0 " |
І2 , 3 0 2 б І 4 , 6 0 5 2 (б , 9 0 7 о (э , 2 Ю З І 1 1 . 5 1 2 9 І 1 3 , 81 5 öf 1 6 , 11 81 j 1 8 , 4 2 0 7 І2 0 , 7 2 3 3 |
.73
Таблица VII.
Натуральные значения тригонометрических функций
котангенс
/ |
0° |
Г |
2° |
3° |
4° |
5° |
6° |
7° |
8° |
9° |
/ |
|
|
0 |
00 |
57,29 |
28.64 |
1 |
3437,7 |
56,35 |
28,40 |
2 |
1718,9 |
55,44 |
28,17 |
3 |
1145,9 |
54,56 |
27,94 |
4 |
859,4 |
53,71 |
27,71 |
5 |
687,5 |
52,88 |
27,49 |
6 |
573,0 |
52,08 |
27,27 |
7 |
491,1 |
51,30 |
27,06 |
8 |
429,7 |
50,55 |
26,84 |
9382,0 49.82 26,64
10343,8 49,10 26,43
11312,5 48,41 26,23
12286,5 47,74 26,03
13264,4 47,09 25.83
14245,6 46,45 25,64
15229,2 45,83 25,45
16214,9 45,23 25,26
17202,2 44,64 25,08
18191,0 44,07 24,90
19180,9 43,51 24,72
20 171,9 42,96 24,54
21163,7 42,43 24,37
22156,3 41,92 24,20
23149,5 41,41 24,03
24143,2 40,92 23,86
25137,5 40,44 23,69
26132,2 39,97 23.53
27127,3 39,51 23,37
28122,8 39,06 23,21
29118,5 38,62 23,06
30114,6 38,19 22,90
19,08 14,30
18,98 14,24
18,87 14, 18
18,77 14,12
18,67 14,07
18,56 14,01
18,46 13,95
18,37 13,89
18,27 13,84
18,17 13,78
18,07 13,73
17,98 13,67
17,89 13,62
17,79 13,56
17,70 13,51
17,61 13,46
17,52 13,40
17,43 13,35
17,34 13,30
17,26 13,25
17,17 13,20
17,08 13,15
17,00 13,10
16,92 13,05
16,83 13,00
16,75 12,95
16,67 12,90
16,59 12,85
16,51 12,80
16,43 12,75
16,35 12,71
11,43
11,39
11,35
11,32
11,28
11,24
11,20
11,17
11,13
11,10
11,06
11,02
10,99
10,95
10,92
10,88
10,85
10,81
10J 8
10,75
10,71
10,68
10,64
10,61
10,58
10,55
10,51
10,48
10,45
10,42
10,39
9 514
9,488
9,461
9,435
9,409
9,383
9,357
9,332
9,306
9,281
9,255
9,230
9,205
9,180
9,156
9,131
9,106
9,082
9,058
9,034
9,010
8,986
8,962
8,939
8,915
8,892
8,869
8,846
8,823
8,800
8,777
8,144
8,125
8,105
8,086
8,067
8,048
8,028
8,009
7,991
7,972
7,953
7,934
7,916
7,897
7,879
7,861
7,842
7,824
7,806
7,788
7,770
7,753
7,735
7,717
7,700
7,682
7,665
7,647
7,630
7,613
7,596
7,115
7,100
7,085
7,071
7,056
7,041
7,026
7,012
6,997
6,983
6,968
6,954
6,940
6,925
6,911
6,897
6,883
6,869
6,855
6,841
6,827
6,813
6,799
6,786
6,772
6,758
6,745
6,731
6,718
6,704
6,691
6,314
6,302
6,290
6,278
6,267
6,255
6,243
6,232
6,220
6,209
6,197
6,186
6,174
6,163
6,152
6,140
6,129
6,118
6,107
6,096
6,084
6,073
6,062
6,051
6,041
6,030
6,019
6,008
5,997
5,986
5,976
|
89° |
; |
Оо- |
86° |
8 5 ° |
СО |
|
8 3 3 |
82° |
81° |
ОО__ОО |
|
СОС оО |
О |
|||||||||
/ |
|
|
о о |
|
|
|
|
|
|
|
|
тангенс
60
59
58
57
56
55
54
53
52
51
50
49
48
47
46
45
44
43
42
41
40
39
38
37
36
35
34
33
32
31
30
'
74'
|
|
Натуральные |
|
Таблица |
VII. |
|
|
|
|
||
|
|
значения |
тригонометрических функций |
|
|
||||||
|
|
|
|
|
к о тан ген с |
|
|
|
|
||
' |
0 ° |
Г |
2° |
3° |
4° |
5° |
6° |
7° |
8° |
9° |
/ |
|
30114,63
31110,94
32107,45
33104,22
34101,11
3598,22
3695,49
3792,91
38 90,46
39 |
88,14 |
40 |
85,94 |
41 |
83,84 |
42 |
81,85 |
43 |
79,94 |
44 |
78,13 |
45 |
76,39 |
46 |
74,73 |
47 |
73,14 |
48 |
71,62 |
49 |
70,15 |
50 |
68,75 |
5167,40
5266,11
5364,86
5463,66
5562,50
5661,38
5760,31
5859,27
5958,26
6057,29
38,19 |
22,90 |
16,35 |
37,77 |
22,75 |
16.27 |
37,36 |
22,60 |
16,20 |
36,96 |
22,45 |
16,12 |
36,56 |
22,31 |
16,04 |
36,18 |
22,16 |
15,97 |
35,80 |
22,02 |
15,89 |
35,43 |
21,88 |
15,82 |
35,07 |
21,74 |
15,75 |
34,72 |
21,61 |
15,68 |
34,37 |
21,47 |
15,60 |
34,03 |
21,34 |
15,53 |
33,69 |
21,20 |
15,46 |
33, 3 7 |
, 21,07 |
15,39 |
33,05 |
20,95 |
15,33 |
32,73 |
20,82 |
15,26 |
32,42 |
20,69 |
15,19 |
32,12 |
20,57 |
15,12 |
31,82 |
20,45 |
15,06 |
31,53 |
20,33 |
14,99 |
31,24 |
20,21 |
14,92 |
30,96 |
20,09 |
14,86 |
30,68 |
19,97 |
14,80 |
30,41 |
19,85 |
14,73 |
30,14 |
19,74 |
14,67 |
29,88 |
19.63 |
14,61 |
29,62 |
19,52 |
14,54 |
29,37 |
19,41 |
14,48 |
29,12 |
19,30 |
14,42 |
28,88 |
19,19 |
14,36 |
28,64 |
19,08 |
14,30 |
12,71
12,66
12,61
12,57
12,52
12,47
12,43
12,38
12,34
12,29
12,25
12,21
12,16
12,12
12,08
12.03
11,99
11,95
11,91
11,87
11,83
11,79
11,74
11,70
11,66
11,62
11 /59
11,55
11,51
11,47
11,43
10,385 8,777
10,354 8,754
10,322 8,732
10,291 8,709
10,260 8,687
10,229 8,665
10,199 8,643
10,168 8,621
10,138 8,599
10,108 8,577
10,078 8,556
10,048 8,534
10,019 8,513
9,989 8,491
9,960 8,470
9.931 8,449
9,902 8,428
9,873 8,407
9,845 8,386
9,816 8,366
9,788 8,345
9,760 8,324
9,732 8,304
9,704 8,284
9,677 8,264
9,649 8,243
9,622 8,223
9,595 8,204
9,568 8,184
9,541 8,164
9,514 8,144
7,596
7,579
7,562
7,545
7,528
7,511
7,495
7,478
7,462
7,445
7,429
7,412
7,396
7,380
7,364
7,348
7,332
7,316
7,300
7,284
7,269
7,253
7,238
7,222
■7,207 7,191 7,176
7,161
7,146
7,130
7,115
6,691
6,678
6,665
6,651
6,638
6,625
6,612
6,599
6,586
6,573
6,561
6,548
6.535
6,522
6,510
6,497
6 ,48э
6,472
6,460
6,447
6,435
6,423
6,410
6,398
6,386
6,374
6,362
6,350
6,338
6,326
6,314
5,976
5,965
5,954
5,944
5,933
5,923
5,912
5,902
5,892
5,881
5,871
5,861
5,850
5,840
5,830
5,820
5,810
5,799
5,789
5,779
5,769
5,759
5,749
5,740
5,730
5,720
5,710
5,700
5,691
5,681
5,671
30
29
28
27
26
25
24
23
22
21
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
/89°
! |
|
1 1 |
|
00 |
о |
• |
|
87° 86° |
Сл00 о |
00 |
о |
|
та н ге н с |
|
83°
О СЧ 00 ;
81°
00 о о
t
75
|
|
|
|
|
Таблица |
VII. |
|
|
|
|
|
|
|
Натуральные значения |
тригонометрических функций |
|
|
||||||
|
|
|
|
|
косеканс |
|
|
|
|
|
|
/ |
0° |
Г |
2° |
3° |
4° |
5° |
6° |
7° |
8° |
9° |
/ |
|
|
0 |
0 0 |
57,30 |
28,65 |
19,11 |
14,34 |
1 |
3437,7 |
56,36 |
28,42 |
19,00 |
14,28 |
2 |
1718,9 |
55,45 |
28,18 |
18,90 |
14,22 |
3 |
1145,9 |
54,57 |
27,96 |
18,79 |
14,16 |
4 |
859,4 |
53,72 |
27,73 |
18,69 |
14,10 |
5 |
687,5 |
52,89 |
27,51 |
18,59 |
14,04 |
6 |
573,0 |
52,09 |
27,29 |
18,49 |
13,99 |
7 |
491,1 |
51,31 |
27,08 |
18,39 |
13,93 |
8 |
429,7 |
50,56 |
26,86 |
18,30 |
13,87 |
9 |
382,0 |
49,83 |
26,66 |
18,20 |
13,82 |
10 |
343,8 |
49,11 |
26,45 |
18,10 |
13,76 |
11 |
312,5 |
48,42 |
26,25 |
18,01 |
13,71 |
12 |
286,5 |
47,75 |
26,05 |
17,91 |
13,65 |
13 |
264,4 |
47,10 |
25,85 |
17,82 |
13,60 |
14 |
245,6 |
46,46 |
25,66 |
17,73 |
13,55 |
15 |
229,2 |
45,84 |
25,47 |
17,64 |
13,49 |
16 |
214,9 |
45,24 |
25,28 |
17,55 |
13,44 |
17 |
202,2 |
44,65 |
25,10 |
17,46 |
13,39 |
18 |
191,0 |
44,08 |
24,92 |
17,37 |
13,34 |
19 |
180,9 |
43,52 |
24,74 |
17,28 |
13,29 |
20 |
171,9 |
42,98 |
24,56 |
17,20 |
13,23 |
21 |
163,7 |
42,45 |
24,39 |
17,11 |
13,18 |
22 |
156,3 |
41,93 |
24,22 |
17,03 |
13,13 |
23 |
149,5 |
41,42 |
24,03 |
16,94 |
13,08 |
24 |
143,2 |
40,93 |
23,88 |
16,86 |
13,03 |
25 |
137,5 |
40,45 |
23,72 |
16,78 |
12,99 |
26 |
132,2 |
39,98 |
23,55 |
16,70 |
12,94 |
27 |
127,3 |
39,52 |
23,39 |
16,62 |
12,89 |
28 |
122,8 |
39,07 |
23,24 |
16,54 |
12,84 |
29 |
118,5 |
38,63 |
23,08 |
16,46 |
12,79 |
30 |
114,6 |
38,20 |
22,93 |
16,38 |
12,75 |
11,47
11,44
11,40
11,36
11,32
11,29
11,25
11,21
11,18
11,14
11,10
11,07
11,03
11,00
10,96
10,93
10,89
10,86
10,83
10,79
10,76
10,73
10,69
10,66
10,63
10., 59
10,56
10,53
10,50
10,47
10,43
9,567
9,540
9,514
9,488
9,462
9,436
9,411
9,385
9,360
9,334
9,309
9,284
9,259
9,235
9,210
9,186
9,161
9,137
9,113
9,089
9,065
9,041
9,018
8,994
8,971
8,948
8,925
8,902
8,879
8,856
8,834
8,206
8,186
8,167
8,148
8,128
8,109
8,091
8,072
8,053
8,034
8,016
7,997
7,979
7,960
7,942
7,924
7,906
7,888
7,870
7,852
7,834
7,817
7,799
7,782
7,764
7,747
7,730
7,712
7,695
7,678
7,661
7,185
7,170
7,156
7,141
7,126
7,112
7,097
7,083
7,068
7,054
7,040
7,025
7,011
6,997
6,983
6,969
6,955
6,941
6,927
6,914
6,900
6,886
6,872
6,859
6,845
6,832
6,819
6,805
6,792
6,779
6,765
6,392
6,381
6,369
6,357
6,346
6,334
6,323
6,311
6,300
6,289
6,277
6,266
6,255
6,243
6,232
6,221
6,210
6,199
6,188
6,177
6,166
6,155
6,144
6,134
6,123
6,112
6,101
6,091
6,080
6,069
6,059
SO
5 9 .
58
57
56
55
54
53
52
51
50
49
48
47
46
45
44
43
42
41
40
39
38
37
36
35
34
33
32
31
30
/ 89° 88°
О 00
86° |
85° |
84° |
83° |
82° |
81°' |
80° |
t |
|
секанс
76
Таблица VII.
Натуральные значения тригонометрических функций
косеканс
/ |
0° |
Г |
1 2° |
3° |
4° |
5° |
6° |
7 ° |
8° |
|
|
|
|
|
|
|
|
|
|
30 |
114,62 |
38,20 |
22,93 |
16,38 |
12,75 |
10.433 |
8,834 |
7,661 |
6,765 |
31 |
110,94 |
37,78 |
22,77 |
16,30 |
12,70 |
10,402 |
8,811 |
7,644 |
6,752 |
,32 |
107,45 |
37,37 |
22,62 |
16,23 |
12,65 |
10,371 |
8,789 |
7,628 |
6,739 |
33 |
104,23 |
36,97 |
22,48 |
16,15 |
12,61 |
10,340 |
8,767 |
7,611 |
6,726 |
34 |
101,11 |
36,58 |
22,33 |
16,07 |
12,56 |
10,309 |
8,744 |
7,594 |
6,713 |
35 |
98,22 |
36,19 |
22,19 |
16,00 |
12,51 |
10,278 |
8,722 |
7,578 |
6,700 |
36 |
95,49 |
35,81 |
22,04 |
15,93 |
12,47 |
10,248 |
8,700 |
7,561 |
6,687 |
37 |
92,91 |
35,45 |
21,90 |
15,85 |
12,42 |
10,217 |
8,679 |
7,545 |
6,675 |
38 |
90,47 |
35,08 |
21,77 |
15,78 |
12,38 |
10,187 |
8,657 |
7,528 |
6,662 |
39 |
88,15 |
34,73 |
21,63 |
15,71 |
12.34 |
10,157 |
8,635 |
7,512 |
6,649 |
40 |
85,95 |
34,38 |
21,49 |
15,64 |
12,29 |
10,128 |
8,614 |
7,496 |
6,636 |
41 |
83,85 |
34,04 |
21,36 |
15,57 |
12,25 |
10,098 |
8,592 |
7,480 |
6,624 |
42 |
81,85 |
33,71 |
21,23 |
15,50 |
12,20 |
10,068 |
8,571 |
7,463 |
6,611 |
43 |
79,95 |
33,38 |
21,10 |
15,43 |
12,16 |
10,039 |
8,550 |
7,447 |
6,599 |
44 |
78,13 |
33,06 |
20,97 |
15,36 |
12,12 |
10,010 |
8,529 |
7,431 |
6,586 |
45 |
76,40 |
32,75 |
20,84 |
15,29 |
12,08 |
9,981 |
8,508 |
7,416 |
6,574 |
46 |
74,74 |
32,44 |
20,72 |
15,22 |
12,03 |
9,952 |
8,487 |
7,400 |
6,561 |
47 |
73,15 |
32,13 |
20,59 |
15,16 |
11,99 |
9,924 |
8,466 |
7,384 |
6,549 |
48 |
71,62 |
31,84 |
20,47 |
15,09 |
11,95 |
9,895 |
8,446 |
7,368 |
6,537 |
49 |
70,16 |
31,54 |
20,35 |
15,02 |
11,91 |
9,867 |
8,425 |
7,353 |
6,524 |
50 |
68,76 |
31,26 |
20,23 |
14,96 |
11,87 |
9,839 |
8,405 |
7,337 |
6,512 |
51 |
67,41 |
30,98 |
20,11 |
14,89 |
11,83 |
9,811 |
8,384 |
7,322 |
6,500 |
52 |
66,11 |
30,70 |
20,00 |
14,83 |
11,79 |
9,783 |
8,364 |
7,306 |
6,488 |
53 |
64,87 |
30,43 |
19,88 |
14,77 |
11,75 |
9,756 |
8,344 |
7,291 |
6,476 |
54 |
63,66 |
30,16 |
19,77 |
14,70 |
11,71 |
9,728 |
8,324 |
7,276 |
6,464 |
55 |
62,51 |
29,90 |
19,65 |
14,64 |
11,67 |
9,701 |
8,304 |
7,260 |
6,452 |
56 |
61,39 |
29,64 |
19,54 |
14,58 |
11,63 |
9,674 |
8,284 |
7,245 |
6,440 |
57 |
60,31 |
29,39 |
19,43 |
14,52 |
11,59 |
9,647 |
8,264 |
7,230 |
6,428 |
58 |
59,27 |
29,14 |
19,32 |
14,46 |
11,55 |
9,620 |
8,245 |
7,215 |
6,416 |
59 |
58,27 |
28,89 |
19,21 |
14,40 |
11,51 |
9,593 |
8,225 |
7,200 |
6,404 |
60 |
57,30 |
28,65 |
19,11 |
14,34 |
11,47 |
9,567 |
8,206 |
7,185 |
6,392 |
9 °
6,059
6,048
6,038
6,027
6,017
6,007
5,996
5,986
5,976
5,966
5,955
5,945
5,935
5,925
5,915
5,905
5,895
5,885
5,875
5,865
5,855
5,846
5,836
5,826
5,816
5,807
5,797
5,787
5,778
5,768
5,759
/
30
29
28
27
26
25
24
23
22
21
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
/ |
с0о0о |
403 |
|
|
1 |
СО |
О |
86°
0 0 с ло |
84° 83° |
сек ан с
О 0 0
81°
О О 0 0
/
77
Таблица VII.
Натуральные значения тригонометрических функций
0 °— 5°
р .р . |
sin |
cosec |
tg |
ctg |
sec |
cos |
0 , 1
2 0,2
0 , 3
5 0 , 5
{0,6
0 , 71
80,8
90 , 9
г |
|
|
3 |
|
|
2 |
0 , 3 |
|
|||
0,6 |
|||||
|
|
0 , 9 |
|
||
|
|
|
1 , 2 |
||
6 |
|
1 , 5 |
|||
|
I |
, 8 |
|||
|
|
2 |
1 |
||
S |
|
2 ,, 4 |
|
||
9 |
|
2 , 7 |
|
||
t |
|
2 9 1 |
|
||
1 |
|
2 9 , 1 |
|||
2 |
|
5 |
S |
, |
2 |
3 |
|
8 |
|
||
|
|
7 , 3 |
|||
А |
|
1 1 6 , 4 |
|||
5 |
1 4 5 , 5 |
||||
6 |
1 7 4 . 6 |
||||
7 |
2 0 3 . 7 |
||||
8 |
2 3 2 . 8 |
||||
9 |
2 6 1 , 9 |
||||
' |
|
2 9 3 |
|
12 9 , 3
о5 8 , 6
38 7 , 9
4 1 1 7 , 2
5 1 4 6 , 5
6 1 7 5 , 8
7 2 0 5 , 1
8 2 3 4 , 4
9 2 6 3 , 7
|
0°00' 0,000000 |
|
2 |
10 |
2909 |
|
20 |
5818 |
0,2 |
0°30' 0,008727 |
||||
0 , 4 |
|||||
0,6 |
40 |
01164 |
|||
0,8 |
50 |
1454 |
|||
1,0 |
|||||
1I |
, |
2 |
1°00' 0,01745 |
||
|
fi |
||||
I |
, |
|
4 |
||
1,8 |
10 |
2036 |
|||
|
|
|
|
20 |
2327 |
2 9 0 |
|
ГЗО' 0,02618 |
|||
|
|
|
|
40 |
02908 |
2 9 |
|
, 0 |
50 |
03199 |
|
5 8 . 0 |
|
|
|||
8 7 |
|
, 0 |
2=00' 0,03490 |
||
1 4 5 |
0 |
10 |
03781 |
||
1 7 4 .І0 |
20 |
04071 |
|||
2 0 3 |
|
. 0 |
|
|
|
2 3 2 |
|
. 0 |
|
|
|
2 6 1 |
|
|
, 0 2^30' 0,04362 |
||
|
|
|
|
40 |
04653 |
|
|
|
|
50 |
04943 |
2 9 2 |
|
3°00' 0,05234 |
|||
2 9 |
|
, 2 |
|||
|
10 |
05524 |
|||
5 8 , 4 |
20 |
05814 |
|||
8 7 , 6 |
|
|
|||
1 1 6 |
|
, 8 |
3°30' 0,06105 |
||
1 4 6 |
|
, 0 |
|||
1 7 5 |
|
, 2 |
40 |
06395 |
|
2 0 4 |
|
|
, 4 |
50 |
06685 |
2 3 3 |
|
. 6 |
|||
2 6 2 , 8 |
4°00' 0,06976 |
||||
|
|
|
|
||
2 9 0 9 |
10 |
07266 |
|||
20 |
07556 |
||||
2 9 0 , 9 |
4°30' 0,07846 |
||||
5 8 1 |
|
|
, 8 |
||
8 7 2 . 7 |
40 |
08136 |
|||
1 1 6 3 |
|
, 6 |
50 |
08426 |
|
1 4 5 4 , 5 |
|
|
|||
1 7 4 5 , 4 |
5°00' 0,08716 |
||||
2 0 3 6 , 3 |
|||||
2 3 2 7 , 2 |
|
|
|||
2 6 1 8 , 1 |
|
|
2 9 0 9
2 9 0 9
2 9 0 9
2 9 1
2 9 0
2 9 1
2 9 1
2 9 1
2 9 1
2 9 0
2 9 1
2 9 1
2 9 1
2 9 0
2 9 1
291
2 9 0
2 9 1
2 9 0
2 9 0
2 9 1
2 9 0
2 9 0
2 9 1
2 9 0
2 9 0
2 9 0
2 9 0
2 9 0
2 9 0
СО |
0,000000 |
2 9 0 9 |
00 |
1,0000 |
0 |
1,0000 |
0 |
90°00' |
|
343,8 |
2909 |
343,8 |
0000 |
0000 |
50 |
||||
171,9 |
5818 |
2 9 0 9 |
171,9 |
0000 n |
0000 |
о |
40 |
||
114,6 0,008727 |
2 9 0 9 |
114,6 1,0000 |
0 |
1,0000 |
0 |
89°30' |
|||
2 9 1 |
n |
|
|||||||
85,95 |
01164 |
85,94 |
0001 |
0,9999 |
0 |
20 |
|||
68,76 |
1455 |
2 9 1 |
68,75 |
0001 |
9999 |
10 |
|||
57,30 |
0,01746 |
2 9 1 |
57,29 |
1,0002 |
1 |
0,9998 |
|
89°00' |
|
2 9 0 |
0 |
0 |
|||||||
49,11 |
2036 |
49. 10 |
0002 |
9998 |
50 |
||||
42,98 |
2328 |
2 9 2 |
42,96 |
0003 |
|
9997 |
|
40 |
|
2 9 1 |
0 |
0 |
|||||||
38,20 |
0,02619 |
38,19 1,0003 |
0,9997 |
88°30' |
|||||
2 9 1 |
|
|
|||||||
34,38 |
02910 |
34,37 |
0004 |
|
9996 |
|
20 |
||
31,26 |
03201 |
2 9 1 |
31,24 |
0005 |
|
9995 |
|
10 |
|
291 |
1 |
|
|||||||
28,65 |
0,03492 |
28,64 |
1,0006 |
0,9994 |
|
88"00' |
|||
29 1 |
1 |
|
|||||||
26,45 |
03783 |
26,43 |
0007 |
9993 |
|
50 |
|||
24,56 |
04075 |
2 9 2 |
24,54 |
0008 |
|
9992 |
|
40 |
|
2 9 1 |
2 |
2 |
|||||||
22,93 |
0,04366 |
22,90 1,0010 |
0,9990 |
87°30' |
|||||
2 9 2 |
1 |
|
|||||||
21,49 |
04658 |
21,47 |
ООП |
9989 |
|
20 |
|||
20,23 |
04949 |
2 9 1 |
20,21 |
0012 |
|
9988 |
|
10 |
|
2 9 2 |
2 |
о |
|||||||
19,11 0,05241 |
19,08 |
1,0014 |
0,9986 |
87°00' |
|||||
2 9 2 |
1 |
1 |
|||||||
18,10 |
05533 |
18,07 |
0015 |
9985 |
50 |
||||
17,20 |
05824 |
2 9 1 |
17,17 |
0017 |
|
9983 |
|
40 |
|
2 9 2 |
0 |
|
|||||||
16,38 |
0,06116 |
16,35 |
1,0019 |
0,9981' |
2 |
86°30' |
|||
2 9 2 |
2 |
|
|||||||
15,64 |
06408 |
15,60 |
0021 |
9980 |
2 |
20 |
|||
14,96 |
06700 |
2 9 2 |
14,92 |
0022 |
1 |
9978 |
10 |
||
14,34 |
0,06993 |
2 9 3 |
14,30 |
1,0024 |
2 |
0,9976 |
2 |
86°00' |
|
2 9 2 |
3 |
|
|||||||
13,76 |
07285 |
13,73 |
0027 |
9974 |
2 |
50 |
|||
13,23 |
07578 |
2 9 3 |
13,20 |
0029 |
2 |
9971 |
3 |
40 |
|
12,75 0,07870 |
2 9 2 |
12,71 |
1,0031 |
2 |
0,9969 |
2 |
85°30' |
||
2 9 3 |
0 |
|
|||||||
12,29 |
08163 |
12,25 |
0033 |
9967 2 |
20 |
||||
11,87 |
08456 |
2 9 3 |
11,83 |
0036 |
|
9964 |
|
10 |
|
2 9 3 |
2 |
2 |
|||||||
11,47 0,08749 |
11,43 |
1,0038 |
0,9962 |
85с00' |
|||||
|
|
|
C O S |
sec |
ctg |
tg |
cosec |
sin |
90°— 8 5°
78
Таблица VII.
Натуральные значения тригонометрических функций
5 °— 10°
sin |
cosec |
tg |
c ig |
sec |
COS |
Р.р. |
5=00' 0,08716 10 09005 20 09295
5°30' 0,09585 40 09874 50 10164
6°00' 0,10453 10 10742 20 11031
6=30' 0,11320 40 11609 50 11898
7°00' 0,12187 10 12476 20 12764
7=30' 0,13053 40 13341 50 13629
8°00' 0,13917 10 14205 20 14493
8=30' 0,14781 40 15069 50 15356
9=00' 0,15643 10 15931 20 16218
9=30' 0,16505 40 16792 50 17078
10=00' 0,17365
2 8 9
2 9 0
2 9 0
2 S 9
2 9 0
2 8 9
2 8 9
2 8 9
2 8 9
2 8 9
2 8 9
2 8 9
2 8 9
2 8 8
2 8 9
2 8 S
2 8 8
2 S 8
2 8 S
2 8 8
2 8 8
2 8 8
2 8 7
2 S 7
2 8 8
2 8 7
2 8 7
2 8 6
2 8 7
11,474 0,08749 2 9 3
105 09042 2 9 3
10,758 09335
2 9 4
10,433 0,09629 2 9 4
128 09923 2 9 3
9,839 10216
2 9 4
9,567 0,10510 2 9 5
309 10805 2 9 4
065 11099
2 9 5
8,834 0,11394 2 9 4
614 11688 2 9 5
405 11983
2 9 5
8,206 0,12278 2 9 6
016 12574 2 9 5
7,834 12869
2 9 6
7,661 0,13165 2 9 6
496 13461 2 9 7
337 13758 2 9 6
7,185 0,14054 2 9 7
040 14351 2 9 7
6,900 14648 2 9 7
6,765 0,14945 2 9 8
636 15243 2 9 7
512 15540 2 9 8
6,392 0,15838 2 9 9
277 16137 2 9 8
166 16435 2 9 9
6,059 0,16734
5,955 17033 3 0 0
855 17333
з о о
5,759 0,17633
11,430 1,0038 |
3 |
0,9962 |
85=00' |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
059 |
0041 |
9959 |
50 |
|
|
3 |
|
|
|
4 |
|
|
5 |
2 8 6 |
|
|||
10,712 |
0043 |
9 |
9957 |
40 |
|
|
|
|
|
|
|
|
||||||
10,385 1,0046 |
3 |
0,9954 |
84=30' 2 |
0 , 3 |
|
0 4 |
0 , 5 |
2 8 , 6 |
||||||||||
3 |
0 , 6 |
|
0 |
8 |
1 |
,, o |
5 7 , 2 |
|||||||||||
078 |
0049 |
|
9951 |
20 |
4 |
1 , 2 |
|
|
69 |
1 |
1 4 , 4 |
|||||||
|
|
|
|
10 |
3 |
0 , 9 |
|
|
|
|
5 |
1 S |
5 |
, |
8 |
|||
9,788 |
0052 |
|
9948 |
5 |
1 , 5 |
|
2 |
0 |
2 , 0 |
|
|
|||||||
|
|
2 , 5 |
1 4 3 , 0 |
|||||||||||||||
|
|
3 |
|
7 |
2 , 1 |
|
2_ |
8 3 , 5 2 0 0 , 2 |
||||||||||
|
|
|
|
6 |
1 |
, s |
|
4 |
3 , 0 1 7 1 , 6 |
|||||||||
9,514 1,0055 |
3 |
0,9945 |
84=00' 8 |
2 , 4 39 |
|
4 , 0 |
2 2 8 , 8 |
|||||||||||
255 |
0058 |
3 |
9942 |
50 |
9 |
2 , 7 |
|
3 |
6 |
4 , 5 |
2 5 7 , 4 |
|||||||
010 |
0061 |
4 |
9939 |
40 |
|
|
|
S |
|
|
|
|
S |
|
S |
|
|
|
8,777 1,0065 |
0,9936 |
83°30' - |
2 |
7 |
2 8 |
2 |
9 |
|
||||||||||
4 |
|
|||||||||||||||||
556 |
0068 |
9932 |
20 |
1 |
|
|
|
, 7 |
|
|
|
|
|
|||||
345 |
0072 |
|
9929 |
10 |
|
2 |
|
|
2 8 , 8 |
2 8 , 9 |
||||||||
|
|
3 |
|
3 |
|
8 6 |
|
, 4 |
|
|
|
|
|
|
|
|||
|
|
|
|
2 |
|
5 |
S |
|
|
|
|
5 7 , 8 |
||||||
|
|
|
|
|
|
|
|
|
7 |
|
,1 |
5 7 , 6 |
||||||
8; 144 1,0075 4 |
0,9925 |
83°00' |
4 |
|
|
|
4 |
8 6 , 4 |
8 6 , 7 |
|||||||||
|
|
|
|
1 1 5 , 2 |
1 1 5 . 6 |
|||||||||||||
7,953 |
0079 |
|
9922 |
50 |
5 |
1 4 3 , 5 |
1 4 4 , 0 1 4 4 , 5 |
|||||||||||
3 |
6 |
] |
|
|
|
|
, 8 |
|
2 , 8 |
1 7 3 , 4 |
||||||||
770 |
0082 |
9918 |
40 |
1 7 2 |
|
9 |
|
|||||||||||
|
|
4 |
|
|
7 |
2 |
U |
0 , 9 2 0' |
1 , 6 2 0 2 , 3 |
|||||||||
|
|
|
|
8 |
2 |
|
|
, 6 2 3 0 , 4 |
2 3 1 , 2 |
|||||||||
|
|
|
|
|
|
2 9 |
|
|||||||||||
7,596 1,0086 |
4 |
0,9914 |
82°30' 9 |
2 5 8 |
|
, 3 |
2 5 9 , 2 |
2 6 0 , 1 |
||||||||||
269 |
0094 |
9907 |
20 |
|
2 9 4 |
2 9 5 |
2 9 6 |
|
||||||||||
429 |
0090 |
4 |
9911 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7,115 1,0098 |
4 |
0,9903 |
82°00' ' |
|
2 9 |
|
, 4 |
2 9 , 5 |
2 9 , 6 |
|||||||||
6,968 |
0102 |
5 |
9899 |
50 |
2 |
|
5 8 , 8 |
5 9 , 0 |
5 9 , 2 |
|||||||||
827 |
0107 |
|
9894 |
40 |
3 |
|
8 8 |
|
96 |
8 8 , 5 |
8 8 , 8 |
|||||||
4 |
4 |
1 17 |
|
1 1 8 , 0 |
1 1 8 , 4 |
|||||||||||||
|
|
|
|
5 |
|
4 7 |
0 1 4 7 , 5 |
1 4 8 , 0 |
||||||||||
6,691 |
1,0111 |
|
0,9890 |
81°30' |
|
1 7 6 |
|
, 4 |
1 7 7 , 0 |
1 7 7 , 6 |
||||||||
|
(3 I |
|
|
|
|
|
2 0 6 , 5 |
|||||||||||
561 |
0116 |
4 |
9886 |
20 |
7 |
2 0 5 |
|
S |
2 0 7 , 2 |
|||||||||
8 |
2 3 5 |
|
2 3 6 , 0 |
2 3 6 , 8 |
||||||||||||||
435 |
0120 |
5 |
9881 |
9 |
2 6 4 |
|
69 |
2 6 5 , 5 |
2 6 6 , 4 |
|||||||||
6,314 1,0125 |
|
|
10 |
'1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
0,9877 |
81=00 |
|
2 9 7 |
2 9 8 |
3 0 0 |
|
|||||||||||
197 |
0129 |
5 |
9872 |
50 |
|
|
||||||||||||
084 |
0134 |
5 |
9868 |
40 |
|
2 9 , 7 |
2 9 , 8 |
3 0 , 0 |
||||||||||
5,976 1,0139 |
_ 0,9863 |
80°30' |
2 |
|
5 9 |
|
, 4 |
5 9 , 6 |
6 0 , 0 |
|||||||||
3 |
|
8 9 |
|
,1 |
8 9 , 4 |
9 0 , 0 |
||||||||||||
871 |
0144 |
5 |
9858 |
20 |
4 |
1 1 8 , 8 |
1 1 9 , 2 |
1 2 0 , 0 |
||||||||||
769 |
0149 |
5 |
9853 |
6 |
1 7 8 |
|
2 |
1 7 8 , 8 |
1 8 0 , 0 |
|||||||||
|
|
|
|
10 |
5 |
1 4 8 , 5 |
1 4 9 , 0 1 5 0 , 0 |
|||||||||||
5,671 1,0154 |
|
0,9848 |
80°00' |
7 2 0 7 , 9 2 0 8 , 6 2 1 0 , 0 |
||||||||||||||
|
8 |
2 3 7 |
|
6 |
2 3 8 , 4 |
2 4 0 , 0 |
||||||||||||
|
|
|
|
|
9 |
2 6 7 3 |
2 6 8 , 2 |
2 7 0 , 0 |
COS |
sec |
ctg |
tg |
cosec |
sin |
85°— 80е
79