36 4. Funkcja 10+lgtg# oraz 10+lgctg*
Tablica pomocnicza do tablicy 4.1. Interpolację funkcji lg tg a: oraz Igctgx w zakresach 0 < x < 2° oraz 88° ^ x < 90° można dokonywać wg wzorów następujących: dla 0 < x ^ 2° 10+lgtgx = !T+lgx",
x" |
T |
1Q+Igtgx |
X" |
1 T |
10+lgtgx |
0 |
4,68557 |
— |
3434 |
4,68562 |
8,22142 |
200 |
4,68558 |
6,98660 |
3838 |
4,68563 |
8,26973 |
1726 |
4,68559 |
7,92263 |
4204 |
4,68564 |
8,30930 |
2432 |
4,68560 |
8,07156 |
4540 |
4,68565 |
8,34270 |
2976 |
4,68561 |
8,15924 |
4853 |
4,68566 |
8,37167 |
3434 |
8,22142 |
51.46 |
8,39713 |
4.2. Funkcja 10+lg tg x dla zakresu 4° < x < 16° oraz funkcja 10+lgctgx dla zakresu 74° < r $ 86°
| x dla Igtg* |
0' 1' 2' 3' 4' 5' |
Poprawki dła 1" | |
4°00' |
8,84464 84646 84826 85006 85185 85363 |
85°50' |
3,02-2,97 |
10' |
8,86243 86417 86591 86763 86935 87106 |
40' |
2,90-2,86 |
20' |
8,87953 88120 88287 88453 88618 88783 |
30' |
2,79-2,75 |
30' |
8,89598 89760 89920 90080 90240 90399 |
20' |
2,69-2,65 |
40' |
8,91185 91340 91495 91650 91803 91957 |
10' |
2,59-2,56 |
50' |
8,92716 92866 93016 93165 93313 93462 |
85°00' |
2,50-2,47 |
5°00' |
8,94195 94340 94485 94630 94773 94917 |
84°50' |
2,42-2,39 |
10' |
8,95627 95767 95908 96047 96187 96325 |
40' |
2,35-2,31 |
20' |
8,97013 97150 97285 97421 97556 97691 |
30' |
2,27-2,25 |
30' |
8,98358 98490 98622 98753 98884 99015 |
20' |
2,20-2,18 |
40' |
8,99662 99791 99919*00046*00174*00301 |
10' |
2,14-2,12 |
50' |
9,00930 01055 01179 01303 01427 01550 |
84°00' |
2,08-2,06 |
■ |
10' 9' 8' 7' 6' 5' |
x dla lgctg* |
Poprawki dla 1" |
10+lgctg* = 20-r~lg*dla 88° < * < 90° 10+lgtg* = 20- T--lg (324000—*"), 10+lgctg* = T+Ig (324000—*"), gdzie *"~kąt wyrażony w sekundach.
*" |
T |
10+lgtg* |
~~ 1 xf |
..... T |
10+lgtg* |
5146 |
4,68567 |
8,39713 |
6417 |
468572 |
8,49305 |
5424 |
4,68568 |
8,41999 |
6642 |
4,68573 |
8,50802 |
5689 |
4,68569 |
8,44072 |
6859 |
4,68574 |
8,52200 |
5941 |
4,68570 |
8,45955 |
7070 |
4,68575 |
8,53516 |
6184 |
4,68571 |
8,47697 |
7275 |
4,68576 |
8,54759 |
6417 |
8,49305 |
7475 |
8,55938 |
* dla Ig tg* |
5' 6' 7' 8' 9' 10' |
Poprawki dla 1" | |
4W |
8,85363 85540 85717 85893 86069 86243 |
85°50' |
2,96-2,91 |
10' |
8,87106 87277 87447 87616 87785 87953 |
40' |
2,84-2,80 |
20/ |
8,88783 88948 89111 89274 89437 89598 |
30' |
2,74-2,70 |
30' |
8,90399 90557 90715 90872 91029 91185 |
20' |
2,64-2,60 |
40' |
8,91957 92110 92262 92414 92565 92716 |
10' |
2,55-2,51 |
50' |
8,93462 93609 93756 93903 94049 94195 |
85°00' |
2,46-2,43 |
5°00' |
8,94917 95060 95202 95344 95486 95627 |
84°50/ |
2,38-2,35 |
10' |
8,96325 96464 96602 96739 96877 97013 |
40' |
2,31-2,27 |
20' |
8,97691 97825 97959 98092 98225 98358 |
30' |
2,24-2,21 |
30' |
8,99015 99145 99275 99405 99534 99662 |
20' |
2,17-2,14 |
40' |
9,00301 00427 00553 00679 00805 00930 |
10' |
2,11-2,08 |
50' |
9,01550 01673 01796 01918 02040 02162 |
84°00' |
2,05-2,03 |
5' 4' 3' 2' V 0' |
x dla Igctg* |
Poprawki dla 1" |