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X. - <br />Natural Trigonometrical -Functions <br />Angle.Sh. Tan. Sea Cosec. Cetg. Cosh. <br />Angle. Sin. Tan. Sea Cosec Cote. Coaln. <br />Ol <br />0 <br />0 <br />0 <br />1. <br />00 <br />00 <br />1.. <br />80 <br />8 <br />.1392 <br />.1405 <br />1.0098 <br />7.185 <br />7.115 <br />.9902 <br />82 <br />10 <br />.0029 <br />.0029 <br />43.8 <br />343.8 <br />1. <br />50 <br />10 <br />.1421 <br />.1435 <br />1.0102 <br />7.040 <br />6.968 <br />.9898 <br />60 <br />20 <br />.0058 <br />.0058 <br />171.9 <br />171:9 <br />.99998 <br />` 40 <br />" 20 <br />.1449 <br />.1465 <br />1.0107 <br />6.900 <br />6.827 <br />.98944 <br />40 <br />30 <br />.0087 <br />.0087 <br />114;6 <br />114:6 <br />.9999 <br />30 <br />, '30 <br />.1478 <br />.1495 <br />1.0111 <br />6.766 <br />6.691 <br />.98902 <br />30 <br />40 <br />.0116 <br />.0116 <br />1.0001 <br />85.94 <br />85.94 <br />.99993 <br />20. <br />40 <br />.1507 <br />.1524 <br />1:0115 <br />6.636 <br />6.561 <br />.98858 <br />20 <br />60 <br />.0145 <br />.0145 <br />1.0001 <br />68.76 <br />68.75 <br />.9998 <br />10 <br />.. • 50 <br />.1536 <br />.1554 <br />1.0120 <br />6.512 <br />6.435 <br />.98814 <br />10 <br />I -. <br />.0175 <br />.0175 <br />1.0002 <br />57.30 <br />57.29 <br />.999 <br />89 <br />9 . <br />.1564 <br />.1584 <br />1.0125 <br />6.394 <br />6.314 <br />.98769 <br />81 <br />10 <br />.0204 <br />.0204 <br />1.0002 <br />49.11 <br />49.10 <br />.99979 <br />50 <br />10 <br />.1593 <br />.1614 <br />1.0129 <br />6.277 <br />6.197 <br />.98723 <br />. 50 <br />20 <br />.0233 <br />.0233 <br />1.0003 <br />42.98 <br />42.96 <br />.99973 <br />- 40- <br />20 <br />.1622 <br />.1844 <br />1:0134 <br />6.166 <br />6:084 <br />.98676 <br />40 <br />'30 <br />.0262 <br />.0262 <br />1.0003 <br />38.20 <br />38.19 <br />'.99966 <br />30 <br />30 <br />.1650 <br />.1673 <br />1.0139 <br />6.059 <br />5,976'.98629 <br />30 <br />40 <br />.0291 <br />.0291 <br />1.0004 <br />34.38 <br />34.37 <br />.99958 <br />20 <br />40 <br />.1679 <br />.1703 <br />1.0144 <br />5.955 <br />5.871 <br />.98580 <br />20 <br />50 <br />.0320 <br />.0320 <br />1.0005 <br />31.26 <br />31.24 <br />.99949 <br />..10 <br />50 <br />.1708 <br />.1733 <br />1.0149 <br />5.855 <br />5.769 <br />.98531 <br />10 <br />2 <br />.0349 <br />.0349 <br />1.0006 <br />28.65 <br />28.64 <br />.99939 <br />88 <br />10• <br />.1736 <br />.1763 <br />1.0154 <br />5.759 <br />5.671 <br />.98481 <br />80 <br />10 <br />.0378 <br />.037 <br />1.0007 <br />26.45 <br />20.43 <br />.9992 <br />i.50 <br />10 <br />.1765 <br />.1793 <br />1.0160 <br />5.665 <br />5.576 <br />.98430 <br />60 <br />20 <br />-0407 <br />.040 <br />1.0008 <br />24.5 <br />24.54 <br />.9991 <br />40.: <br />26 <br />:1794 <br />:1823 <br />1'.0165 <br />5:575 <br />5.485 <br />.98378 <br />40 <br />30 <br />.0436 <br />.0437 <br />1:0010 <br />22.93 <br />22.90 <br />.99905: <br />30 <br />30 <br />.1822 <br />.1853 <br />1.0170 <br />5.488 <br />5.396 <br />.98325 <br />30 <br />40 <br />.0465 <br />.0466 <br />1:0011 <br />21:49 <br />21.47 <br />:99892 <br />20 <br />40 <br />.1851 <br />.1883 <br />1.0176 <br />5.463 <br />5.309 <br />.98272 <br />20 <br />50.0494 <br />.0495 <br />1.0012 <br />20.23 <br />20.21 <br />.99878 <br />10 <br />50 <br />.1880 <br />.1914 <br />1.0181 <br />5.320 <br />5.226 <br />.98218 <br />10 <br />8. <br />.0523 <br />.0524 <br />1.0014 <br />19.11 <br />19.08 <br />:.99863 <br />87 ' <br />11' <br />•1968 <br />.1944 <br />1.0187 <br />5.2415.145 <br />.98163 <br />79 <br />10 <br />.0652 <br />.0553 <br />1.0015 <br />18.10 <br />18.07 <br />.99847 <br />50 <br />10 <br />.1937 <br />.1974 <br />1.0193 <br />5:164 <br />5.066 <br />.98107 <br />50 <br />20 <br />.0681 <br />.0582 <br />1.0017 <br />17.20 <br />17.17 <br />.99831,= <br />40 <br />20 <br />.1965 <br />.2004 <br />1.0199 <br />5.089 <br />4.989 <br />.98050 <br />40 <br />30 <br />.0616 <br />.0612 <br />1.0019 <br />16.38 <br />16.35 <br />.99813 <br />30 <br />30 <br />.1994 <br />.2035 <br />1.0205 <br />5.016 <br />4.915 <br />.97992 <br />30 <br />40 <br />.0646 <br />.0641 <br />1:002015.6415:60 <br />'69795 <br />' 20 <br />40 <br />.2022 <br />.2065 <br />1.02114.9454:843 <br />.97934 <br />20 <br />50 <br />.0669 <br />.0670 <br />1.0022 <br />14.96 <br />A.92 <br />.99776 <br />10 <br />50 <br />.2051 <br />.2095 <br />1.0217 <br />4.877 <br />4.773 <br />:97875. <br />10. <br />4 <br />.0698 <br />.0699 <br />1.0024 <br />14.34 <br />14.30 <br />:99756 <br />86 <br />12 <br />•2079 <br />.2126 <br />1.0223 <br />4.810 <br />4.705 <br />.97815 <br />78 <br />10 <br />.0727 <br />.0729 <br />1.0027 <br />13.76 <br />13.73 <br />.99736 <br />50 <br />10 <br />:2108 <br />.2156 <br />1.0230 <br />4.745 <br />4.638 <br />:97754 <br />50 <br />20 <br />.0756'.0758 <br />1.0029 <br />13.23 <br />13.20 <br />.9971 <br />40 <br />-20 <br />.2136 <br />.2186 <br />1.0236 <br />4.682 <br />4:574 <br />.97692 <br />40 <br />30 <br />.0785 <br />.0787 <br />1.0031 <br />12.75 <br />12.71.99692 <br />'30 <br />30 <br />.2164 <br />.2217 <br />1.0243 <br />4.620 <br />.511 <br />.97630 <br />30 <br />40 <br />.0814 <br />.0816 <br />1.0033 <br />12.29 <br />12.25 <br />.99668 <br />20 <br />40 <br />.2193 <br />.2247 <br />1.0249 <br />4.560 <br />4.449 <br />.97566 <br />20 <br />50 <br />.0843 <br />.0846 <br />1.0036 <br />11.87 <br />11.83 <br />.99644 <br />10 <br />50 <br />.2221 <br />.2278 <br />1.0256 <br />4.50i <br />4.390 <br />.97502 <br />10 <br />6 . <br />:0872 <br />.087 <br />1:0038 <br />11:4711:43 <br />.99610 <br />85 <br />13 <br />.2250 <br />.2309 <br />1.0263 <br />4.445 <br />4:331 <br />.9743777 <br />10 <br />:0901 <br />.0904 <br />1.0041 <br />11.10 <br />11.06 <br />.9959 <br />-50 <br />40 <br />.2278 <br />.2339 <br />1.0270 <br />4.390 <br />4.275 <br />,97371 <br />50 <br />20-.0929 <br />:0934 <br />1.0043 <br />10.76 <br />10.71 <br />.99567 <br />40 <br />. 20 <br />.2306 <br />.2370 <br />1.0277 <br />4.338 <br />4.219 <br />.97304 <br />40 <br />30 <br />.0958-.0963 <br />1.0046 <br />10.43 <br />10.39 <br />.9954 <br />30 <br />30 <br />.2334 <br />.2401 <br />1.0284 <br />4.284 <br />4.165 <br />:97237 <br />30 <br />40 <br />.0987'.0992 <br />1.0049 <br />10.18 <br />10.08 <br />.99511 <br />20 <br />40 <br />.2363 <br />.2432 <br />1.0291 <br />.232 <br />4.113 <br />.97169 <br />20 <br />50 <br />.1016 <br />.1022 <br />1.0052 <br />9.839 <br />9.788 <br />.99482 <br />,10 <br />50 <br />.2391 <br />.2462 <br />1.0299 <br />4.182 <br />4.661 <br />.97100 <br />10 <br />e <br />.1045 <br />.1051 <br />1.0055 <br />9.567 <br />9.514 <br />.99452 <br />84 <br />14 ' <br />.2419 <br />.2493 <br />1:0306 <br />4.133 <br />4.011 <br />.9703076- <br />970307610 <br />10 <br />:1074 <br />.1080 <br />1.0058 <br />9.309 <br />9.255 <br />.99421 <br />50 <br />10 <br />.2447 <br />.2524 <br />1.0314 <br />4.086 <br />3.962 <br />.96959 <br />50 <br />20 <br />.1103 <br />.1110 <br />1.0061 <br />9.665 <br />9.010 <br />.99390 <br />40 <br />20 <br />.2476 <br />.2555 <br />1.0321 <br />.639 <br />-:914 <br />.96887 <br />40 <br />30 <br />.1132 <br />.1139 <br />1.0065 <br />8.834 <br />8.777 <br />.99357 <br />'30 <br />30 <br />.2504 <br />.2586 <br />1.0329 <br />3.994 <br />3.867 <br />.96815 <br />30 <br />-40 <br />:1161 <br />.1169 <br />1.0068 <br />8.614 <br />8.556 <br />.99324 <br />'20 <br />;40 <br />.2532 <br />.2617 <br />1.0337 <br />3.949 <br />3.821 <br />'96742 <br />20 <br />50 <br />:1190 <br />:1198 <br />1.0072 <br />8:405 <br />8.345 <br />.99290 <br />10 <br />50 <br />.2560 <br />.2648 <br />L.0345 <br />3.906 <br />3.776 <br />.96667 <br />10 <br />7- <br />.1219 <br />:1228 <br />1.0075 <br />8:206 <br />8.144 <br />.99255 <br />8315 <br />.2588 <br />.2679 <br />1.0353 <br />3.864 <br />3.732 <br />:96593 <br />75 <br />10 <br />.1248 <br />:1257 <br />1'.007fl <br />8.018 <br />7.953 <br />.99219 <br />50 <br />10 <br />.2616 <br />.2711 <br />1.0361 <br />.822 <br />,689 <br />:96517 <br />50 <br />:20 <br />.1276 <br />:1287 <br />1.0082 <br />7.834 <br />7.770 <br />.99182 <br />`40 <br />20 <br />.2644 <br />.2742 <br />1.0369 <br />3.782 <br />3.647 <br />:96440 <br />40 <br />30 <br />.1305 <br />.1317 <br />1.0086 <br />7:661 <br />7.596 <br />.99144 <br />36 <br />30 <br />.2672 <br />.2773 <br />1.0377 <br />3.742 <br />3.606 <br />.96363 <br />30 <br />40 <br />.1334 <br />.1346 <br />1.0090 <br />.496 <br />7.429 <br />.99166 <br />20 <br />40 <br />.2700 <br />.2805 <br />1.0386 <br />3.703 <br />3.566 <br />.96285 <br />20 <br />50 <br />.1363 <br />:1376 <br />1.0094 <br />7.337 <br />7.269 <br />.99067 <br />.:10 <br />'; 50 <br />.2728 <br />.2836 <br />1.0394 <br />3.665 <br />3.526 <br />.96206 <br />10 <br />82, - <br />of <br />of <br />Costn. <br />Cotg. <br />Cosec <br />Seo:- <br />Ten. <br />SUL' <br />Angle <br />Cosin. <br />Coto. <br />Cosec <br />Sea <br />Tana <br />Sin <br />Angle <br />Natural -Trigonometrical >Functiona. xx <br />Angle; Sin:' Tan Seca : Cosec. Cotg. Cosin. , , I Angle.-SUL Tan.Sea • Cosec Cotg. Cash. <br />IB' 1.27681,.286711.040313:62813:4871:96126174 -' 24 f (':406714452 1.094612.45912.246191355 68 <br />10 :2784 .2899 1.0412 3.592 3:450 .9604 50 ..10 .4094 .44871:0961 2:443 2.229 .91236 50 <br />20 .2812 2931:1:042 3.556 3:412 .95964 ''40 :`20 .4120 .4522 1.0975 2.427 2.211 .91LI6 40 <br />30 :2840 .2902 1:0429 3.5213.376 .95882 30 '..30 .4147 145571.0989 2.4112:194 .90996 30 <br />40 :2868 .2994 1.0438 3.487 3..340 .95799 -20 40 .4173 .4592 1.1004 2.396 2.177 .90875 20 <br />50 .2896 .30261:044 3:453 3.305 .95715. 10 50 .4200 .4628 1.1019 2.3812. 161 .90753 10 <br />17 .2924 :30571.045 3:420 3:271 .95630 73 -'• 25 .4226 .4663 1.1034 2.366 2.145 .90631 65 - <br />10 .2952 .3089 1.048 3:388 3.237 .95545. 50 10 .4253 .4699 1.1049 2.351 2.128 .90507 50 <br />20 .2979 :3121.1.047 3:357 3:204 .95459 40 . 20 3279 .4734 1.1064 2.337 2:112 .90383 40 <br />0 :3007 .3153 1' 048 3.326 3.172 :95372 : 30 30 .4305 .47701:1079 2.323 2.097 .90259 30 <br />40 .3035 .3185 1.0495 3.295 3.140 -95284 _20 '40 .4331 .4806 1.1095 2.309 2.081 .90133 26 <br />50 :3062 .32171:0505 3.265 3.108 -95195 '10 ."50 .4358 .4841 1.1110 2.295 2.066 .90007 10 <br />18 :..:3090 .32491:0515 3.236 3:078 :95106 72 = 26 ' .4384 .4877 1.1126 2.2812.050 .89879 64 ' <br />10 :3118 .3281 1:0525 3:207 3:048 :95015 '-50 10 .4410 :49131.1142 2.268 2.035 .89752 50 <br />20 .3145 .33141.0535 3.179 3.018 :94924 ' '40 20 .4436 .49501.1158 2.254 2.020 .89623 40 <br />30 :3173 .33461,:0545 3.152 2.989 :94832 ; 30 30 :4462 .49861'.1174 :2412.006 .89493 30 <br />40 :3201 .33781- :0555 3.124 :960 .94740 20 40 :4488 .5022 1.1190 :228 1.991..$9363 . 20 <br />60 :3228 .34111'.0566 3.098 2.932 ,134646 10 50 .4514 .50591.1207 .215 1.977 .89232 10 <br />19 :3256 .3443 1:0576 3 072 2:904 .94552 71 - ` 27: :4540 :5095 1.1223 .203 1.963 .$910163-- <br />10 <br />910163-- <br />10 :3283 .34761.0587 3:046 .877..94457 -.'50 • 10 .4566 .5132 1.1240 L1901.949 .88968 50 <br />20 .3311 .35081'.0598 :020 850 .94361 • 40 •20 .4592 .5169 1.1257 :178 1.935' .88835. 40 <br />30 :3338 .3541 1.0608 2.996.824 94264 30 •'30 :4617 .5206 L1274 L166 1.921 .88701 30 <br />40 .3365 .3574 1.0619 2.971 .798 .94167 .20 40 .4643 .5243 '.1291 .154 1.907 .SM66 '20 <br />50 :3393 .3607 .0631 .947 '.773 .94068 10 50 .4669 .5280 .1308 .142 1.894 .88431 10 <br />M .3420 .3640 1.0642 2.924 .747 .9396970 28 ; .4695 .5317 .1328 ?.130 1,881 .88295 62 <br />10 .3448 .3673 1.0653 .900 .723 .93869 50 10 .4720 .5354 '.1343 .119 1.868 .88158 50 <br />20 .3475 .3706 1.0665 .878 .699 .93769 .'40 20 .4746 .5392 .1361 .107 1:855 .88020 40 <br />30 .3502 .3739 1.0676 2:858 :675 .93667 30 30 :4772 .5430 .1379 .096 1.842 .87882 30 <br />40 .3529 .3772 1.0688 :833 .651 .93565 20 40 .4797 :5467 1.1397 1.0851.829 .87743 20 <br />50 :3557 .3805 '.0700 2.811 .628 .93462 10 50 .4823 :5505 1.1415 2.073 1.816 .87603 10 <br />21 .3584 .3839 1.0711 2.790 3.605 .93358 69 29 :4848 .5543 1.1434 2.063 1.804 8746261 <br />10 .3611'.3872 1.0723 2.769 .583 .93253 50 • 10 .4874 .5581 1.1452 3.052 1.792 .87321 50 <br />J 20 .3638 .3906 1.0736 2.749 1.560 .93148 40 _20 .4899 :5619 1.1471 Z.041 1.780 .87178 40 <br />30 .3665 .3939 1:0748 2.,729 -539 .93042 30 30 .4924 .5658 .1490 2.0311.767 .87036 30 <br />40 :3692 .3973 1.0760 2.70£ .517.92935 20 40 :4950 .5696 1.1509 31.020 1.756 .86892 20 <br />'50 .3719 .40061'.0773 2.689.496 .92827 •10 50 .4975 .5735 1.1528 .010 1.744 .86748 10 <br />22 .3746 .4040 LO785 2.670 .475 .92718 68 30:' .5000 .5774 1.1547 .000 1.732 .86603 S0. <br />10 .3773 .4074 1:.0798 2.650 .455 .92609 50 10 :5025 .5812 .1566 1.990 1.720 .86457 50 <br />20 .3800 .4108 1.0811 2.632 •434 :92499 40 20 .5050 .5851 1.1586 1.980 1.709 .86310 40 <br />30 .3827 ..4142 1.0824 2.613 .414 :92388 30 30 .5075 .5890 1.1606 1.970 1.698 .86163 30 <br />40 .3854 .4176 1.0837 2.595 .394 .92276 20 -"40 .5100 .5930 1.1626 1.961 1.686 .86015 20 <br />6.0 .3881 .4210 1.0850 2.577 .375 :92164 10 •.50 .5125 .5969 1.1646 1.951 1.675 .85866 10 <br />23 .3907 .42451:0864 2.559 :356 .92050 67 - 31 .5150 :6009 1.1666 1.942 1.664 .85717 59 <br />10 .3934 .4279 1.0877 2.542 .337 .91936 50 10 .5175 .6048 1.1687 1.932 1.653 .85567 50 <br />20 .3961 .4314 1.0891 2,525 2 .318 .91822 40 20 .5200 .6088 1.1707 1.923 1.643 .85416 . 40 <br />30 .3957 .4348 1.0904 2.508 2.300 .91706 30 30 .5225 .6128 1.1728 1.914 1.632 .85264 30 <br />40 .4014 .4383 1.0918 2.491 .282 -91590 20 40 .5250 .6168 1.1749 1.905 1.621 .85112 20 <br />50 .4041 .4417 1.0932 2.475 2.204 .91472 10 b0 .5275 .6208 1.1770 1.896 1.611 .84959 10 <br />66 58 <br />of o► <br />Cosh. Coto. Cosec Sea Tan. Sin. Angle I Cosln. Catg. Cosec Sea Tan Sin. Angle <br />N' <br />