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Page:Elements of the Differential and Integral Calculus - Granville - Revised.djvu/29

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COLLECTION OF FORMULAS
5

5. Logarithms of numbers and trigonometric functions.

Table of Mantissas of the Common Logarithms of Numbers
No. 0 1 2 3 4 5 6 7 8 9
1 0000 0414 0792 1139 1461 1761 2041 2304 2553 2788
2 3010 3222 3424 3617 3802 3979 4150 4314 4472 4624
3 4771 4914 5051 5185 5315 5441 5563 5682 5798 5911
4 6021 6128 6232 6335 6435 6532 6628 6721 6812 6902
5 6990 7076 7160 7243 7324 7404 7482 7559 7634 7709
6 7782 7853 7924 7993 8062 8129 8195 8261 8325 8388
7 8451 8513 8573 8633 8692 8751 8808 8865 8921 8976
8 9031 9085 9138 9191 9243 9294 9345 9395 9445 9494
9 9542 9590 9638 9685 9731 9777 9823 9868 9912 9956
10 0000 0043 0086 0128 0170 0212 0253 0294 0334 0374
11 0414 0453 0492 0531 0569 0607 0645 0682 0719 0755
12 0792 0828 0864 0899 0934 0969 1004 1038 1072 1106
13 1139 1173 1206 1239 1271 1303 1335 1367 1339 1430
14 1461 1492 1523 1553 1584 1614 1644 1673 1703 1732
15 1761 1790 1818 1847 1875 1903 1931 1959 1987 2014
16 2041 2068 2095 2122 2148 2175 2201 2227 2253 2279
17 2304 2330 2355 2380 2405 2430 2455 2480 2504 2529
18 2553 2577 2601 2625 2648 2672 2695 2718 2742 2765
19 2788 2810 2833 2856 2878 2900 2923 2945 2967 2989
Table of Logarithms of the Trigonometric Functions
Angle in
Radians
Angle in
Degrees
log sin log cos log tan log cot
.0000 · · · · 0.000 · · · · · · · · 90° 1.5708
.0175 8.2419 9.9999 8.2419 1.7581 89° 1.5533
.0349 8.5428 9.9997 8.5431 1.4569 88° 1.5359
.0524 8.7188 9.9994 8.7194 1.2806 87° 1.5184
.0698 8.8436 9.9989 8.8446 1.1554 86° 1.5010
.0873 8.9403 9.9983 8.9420 1.0580 85° 1.4835
.1745 10° 9.2397 9.9934 9.2463 0.7537 80° 1.3963
.2618 15° 9.4130 9.9849 9.4281 0.5719 75° 1.3090
.3491 20° 9.5341 9.9730 9.5611 0.4389 70° 1.2217
.4363 25° 9.6259 9.9573 9.6687 0.3313 65° 1.1345
.5236 30° 9.6990 9.9375 9.7614 0.2386 60° 1.0472
.6109 35° 9.7586 9.9134 9.8452 0.1548 55° 0.9599
.6981 40° 9.8081 9.8843 9.9238 0.0762 50° 0.8727
.7854 45° 9.8495 9.8495 0.0000 0.0000 45° 0.7854
log cos log sin log cot log tan Angle in
Degrees
Angle in
Radians