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X <br />Natural :Trigonometrical Functions <br />Angle. Sin. Tan. -See. Cosec, Cotg. Cosin. <br />Angle. Sin. Tan. Sec. Cosec. Cotg.• Cosln:, <br />of <br />01 <br />0 <br />0 <br />0 <br />1. <br />oo <br />00 <br />1. <br />•90 <br />8 <br />.1392 <br />:1405 <br />1.0098 <br />7.185 <br />7.115 <br />.99027 <br />82 <br />10 <br />.0029 <br />.0029 <br />1.0412 <br />343.8 <br />343.8 <br />1., <br />- 50 <br />.10 <br />.1421 <br />.1435 <br />1.0102 <br />7:040 <br />6.968 <br />:98986 <br />50 <br />20 <br />.0058 <br />.0058 <br />' <br />171.9 <br />171.9 <br />.99998 <br />40 <br />20 <br />7144911465 <br />.4522 <br />1.0107 <br />6.900 <br />6.827 <br />:98944 <br />40 <br />30 <br />.0087 <br />.0087 <br />42 <br />1.0 9 <br />114 .6 <br />114.8 <br />.99996 <br />30 <br />30 <br />.1478 <br />.1495 <br />1. 111 <br />0 <br />6.766 <br />8.691 <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 />1.0115'6. <br />, 636 <br />6.561.98858 <br />:90875 <br />- 20 <br />50 <br />.0145 <br />.0145 <br />1.0001 <br />68.76 <br />68.75 <br />.9993 <br />.10 <br />50 <br />1536 <br />.1554 <br />1.0120 <br />6.512 <br />6.435 <br />.98814 <br />10 <br />1 <br />.0175 <br />:0175 <br />1.0002 <br />57.30 <br />57.29 <br />.99985 <br />89 <br />9, <br />.1564 <br />.1584 <br />1.0125 <br />8:394 <br />8.314'.98769 <br />.90631 <br />81 <br />10 <br />.0204 <br />.0204 <br />1.0002 <br />49.1149. <br />10 <br />.99979 <br />,50 <br />.10 <br />.1593 <br />.16141.0129 <br />1:1049 <br />6.277 <br />6.197..98723 <br />.90507 <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 />.4734 <br />1.01346'. <br />Id6 <br />6.084_ <br />. 98676 <br />40 <br />30 <br />.02 6 2 <br />2 2 <br />.0 6 <br />1.0003 <br />38. 2038.19 <br />1"2 <br />3. � <br />.99966 <br />30 <br />30 <br />.1650 <br />:1644 <br />.1673 <br />1 0139 <br />6.059 <br />5.976 <br />.9862 9, <br />30 <br />40 <br />.0291:2 <br />0 9 1 <br />1 4 <br />.000 <br />34.38 <br />34.37 <br />.99958 <br />20 <br />40 <br />.1879 <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 />03788 <br />.037 <br />1.0007 <br />26.45 <br />26.43 <br />. 3 <br />2 <br />.999 9 <br />501 <br />0 <br />1 <br />. 765. <br />17 93 <br />1.0160 <br />5.685 <br />5.576.98430 <br />.80752 <br />50 <br />20 <br />.0407 <br />.0407 <br />1.0008 <br />24 .56 <br />24 4 <br />.5 <br />.99917- <br />40 <br />20 <br />.1794 <br />.1823 <br />1.0185 <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 />.04.65 <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 />5.403 <br />5.309 <br />.93272 <br />20 <br />50 <br />.0494 <br />.0495 <br />1.0012 <br />E0.23 <br />20.21 <br />.99878 <br />10 <br />50 <br />.1880 <br />.-1914 <br />1'.018 . 15.320 <br />2.215 <br />5.226 <br />.98218 <br />10 <br />3 <br />.0523 <br />.0524 <br />1.0014 <br />19.11 <br />19.08 <br />.99863 <br />87 <br />11 <br />.1908 <br />.1944 <br />1.0187 <br />5."2415 <br />, .145 <br />.98163 <br />79 <br />10 <br />.0552 <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 />5.1645M6 <br />1.949 <br />.98107 <br />50 <br />20 <br />.0581 <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 />.0610 <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 />.0640 <br />.0641 <br />1.0020 <br />15.64 <br />15.60 <br />.99795 <br />20 <br />40,.2022.2065 <br />.4643 <br />.5243 <br />1.0211 <br />4,945 <br />4.843 <br />.97934 <br />20 <br />50 <br />.0669 <br />.0670 <br />1.0022 <br />14.96 <br />14.92 <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 <br />.0758 <br />1.0029 <br />13.23 <br />13.20 <br />.99714 <br />40 <br />20 <br />.2136 <br />:21861.0236 <br />1.1361 <br />4.682 <br />4.574 <br />.97692_ <br />40 <br />30 <br />.0785 <br />.0787 <br />1.0031 <br />12.751 <br />' 2.71 <br />.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 />.0516 <br />1.0033 <br />12.29 <br />1.25 <br />.99668 <br />20 <br />46 <br />.2193 <br />.2247 <br />1.0249 <br />4.560 <br />4.449 <br />.67566 <br />20 <br />50 <br />.0843 <br />.0846 <br />1.0030 <br />11.87 <br />11.83 <br />.99644 <br />10 <br />50 <br />.2221 <br />.2278 <br />1:0256 <br />4.502 <br />4.390 <br />.97562 <br />10 <br />5 <br />.0572 <br />.0875 <br />1.0038 <br />11.47 <br />11.43 <br />.99619 <br />85 <br />13 <br />.2250 <br />.2309 <br />1.0263 <br />".445 <br />4.331 <br />.97437 <br />77 <br />10 <br />.0901 <br />.0904 <br />1.0041 <br />11.10 <br />11.06 <br />.99594 <br />50 <br />10 <br />.2278 <br />.2339 <br />1.0270 <br />4.390 <br />4.275 <br />.97371 <br />50 <br />20 <br />.0929 <br />.0934 <br />1'.0043 <br />10.76 <br />10.71 <br />.99567 <br />-40. <br />20 <br />.2306..2370 <br />.56191.1471 <br />1:0277 <br />4.338 <br />4.219 <br />.97304 <br />40 <br />30 <br />.0958 <br />.0963 <br />1.0046 <br />10.43 <br />10.39 <br />.99540 <br />30 <br />30 <br />.2334 <br />.2401 <br />1.0284 <br />".284 <br />4.105 <br />.97237 <br />30 <br />40 <br />.0987 <br />.0992 <br />1.0049 <br />10.13 <br />10.08 <br />.99511 <br />20 <br />40 <br />:2363 <br />.2432 <br />1.0291 <br />.232 <br />1.113 <br />.97169 <br />- 20 <br />•60 <br />.1016 <br />.1022 <br />1.0052 <br />9.839 <br />9.788 <br />.99482 <br />.110 <br />50:.2391 <br />.4975 <br />.2462 <br />1:0299 <br />4.182 <br />1.061 <br />.97100 <br />1.0 <br />6,• : <br />.1045 <br />:1051 <br />1,0055 <br />9.567 <br />9:514 <br />.99452 <br />84 . <br />'14 <br />.2419 <br />.2493 <br />1.0366 <br />4.133 <br />4.011 <br />.97030 <br />76 <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 />1.00619.065 <br />2.632 <br />9.010 <br />.99390 <br />40 <br />- 20 <br />.2476 <br />.2555 <br />1.0321 <br />4.039 <br />3 :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 />.90324 <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 />1.0345 <br />3.908 <br />:776 <br />:96667 <br />10 <br />7 <br />.1219 <br />.1228 <br />1:0075 <br />8.206 <br />8.144 <br />.99255 <br />83 <br />15 <br />,2588 <br />.2679 <br />1.0353 <br />3.864 <br />3.732 <br />:96593 <br />75 <br />10 <br />.1248 <br />i 1257 <br />1.0079 <br />8.016 <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 />.782 <br />;'647,.96440 <br />.85416 <br />40 <br />30 <br />.1305 <br />.1317 <br />1.0086 <br />7.661 <br />7.596 <br />.99144 <br />_ <br />30 <br />' "30 <br />.2672 <br />.2773 <br />1:03773.742 <br />1.914 <br />:606 <br />.96363 <br />30 <br />40 <br />.1334 <br />.1346 <br />1.0090 <br />7.496 <br />7.429 <br />.99166 <br />20 <br />40 <br />.2700 <br />.2805 <br />1.03863.703 <br />1.905 <br />.566.96285 <br />.85112 <br />_ 20 <br />50 <br />.1363 <br />.1376 <br />1.0094 <br />7.337 <br />7.269 <br />.99067 <br />10; <br />50 <br />.272S <br />.2836 <br />1:039413.6665 <br />1.896 <br />3.526 <br />.96206. <br />10 <br />82 <br />Angle <br />74 <br />or <br />Angle <br />Cosin. <br />Cotg. <br />Cosec. <br />Sec. <br />Tan. <br />Sin._ <br />Cosin. <br />Cotg. <br />-Cosec. <br />- Sec.. <br />-Tena <br />Sin. <br />- `XI <br />Natural Trigonometrical Functions <br />Angle. Sin. Tani Sec. Cosec. Co!g. Cosin. <br />Angle. Sin. ,Tan: .Sec:° Cosec. Cotg. Co31n. - <br />oi.. <br />16- <br />.2756 <br />:2867 <br />1.0403 <br />3:623 <br />3:487 <br />:96126 <br />74 <br />24 <br />.4067 <br />:4452 <br />1.0946 <br />2.459 <br />2.246 <br />.91355 <br />66: <br />. 10 <br />':2784 <br />:2899 <br />1.0412 <br />3.592 <br />3.450 <br />:96046 <br />50 <br />10 <br />.4094.4487 <br />1:09612.443 <br />2.229 <br />.91236 <br />50 <br />2 <br />.2812 <br />.2931 <br />1.0423 <br />3.556 <br />3.412 <br />.95964 <br />:: 40 <br />20 <br />.4120 <br />.4522 <br />1.0975 <br />2.427 <br />2.211 <br />.91116: <br />' 40 <br />" 3 <br />284 0 <br />2 2 <br />. 96 <br />42 <br />1.0 9 <br />3.5 21 <br />37 <br />3. 6 <br />�.. <br />.9v 3., <br />3 <br />3 0 <br />. ': 30 <br />414 <br />. 7 <br />.455 <br />. 7 <br />1: 0939 <br />2.411 <br />2.194.00996 <br />30 <br />4 <br />1'2868 <br />:2994 <br />1.0438 <br />3.487 <br />3.340 <br />95799 <br />20 <br />40 <br />.4173 <br />.4592 <br />1:1004 <br />2.396 <br />2.177 <br />:90875 <br />20 <br />". 50-2896 <br />.3026 <br />1.0448 <br />3:453 <br />3.305 <br />.95715 <br />10 <br />- 50 <br />.4200-4628 <br />1.1019 <br />2.3812.161 <br />.90753 <br />10 <br />17: <br />.2924 <br />.30571:0457 <br />3.420 <br />3.271 <br />.93630 <br />73. <br />25'" <br />:4226 <br />.4663 <br />1.1034 <br />2.366 <br />2.145 <br />.90631 <br />65 <br />10 <br />'2952 <br />.3089 <br />1'0466-3.388 <br />3.237 <br />.93545 <br />50 <br />10 <br />f.4253 <br />.4699 <br />1:1049 <br />2.351 <br />2.128 <br />.90507 <br />50 <br />20 <br />.2979 <br />13121 <br />1.0476 <br />3.357 <br />3.204 <br />:95459 <br />46 <br />i- 20 <br />.4279 <br />.4734 <br />1.1064 <br />2.337 <br />2.112 <br />.90383 <br />.40 <br />00 <br />.3007 <br />1 <br />.3 531.0 <br />4 5 <br />8 <br />2 <br />3.3 6 <br />1"2 <br />3. � <br />.95 72 <br />3 <br />30 <br />:30.305. <br />4 <br />4 770 <br />l I <br />.079 <br />2.32 3 <br />2 0 97 <br />9025 <br />M259 <br />. 9 <br />30 <br />:. 40 <br />.3035 <br />.3185 <br />1.005 <br />3:295 <br />3.140 <br />.95284 <br />20 <br />_ 40 <br />.4331 <br />.48061.1095 <br />2.309 <br />2.081 <br />:90133 <br />-20 <br />50 <br />:3062 <br />.3217 <br />1.0505 <br />3.265 <br />3.108 <br />.95195 <br />10' <br />50 <br />.4358 <br />.4841 <br />1.1110 <br />2.295 <br />2.066 <br />.90007 <br />10 <br />13 <br />.3090 <br />.3249 <br />1.0515 <br />3:236 <br />3.078 <br />.95106 <br />72 <br />26 ...4384 <br />.4877 <br />1.1126 <br />2.2812.050 <br />.89879 <br />64 <br />1 0. <br />3118: <br />.3 281 <br />1 525 <br />.0 <br />3 2 0 <br />3.0 48 <br />.950 15 <br />." 50 <br />1 0. <br />' 441 0 <br />.491 3 <br />1.1142 <br />2.268 <br />2.035 <br />.80752 <br />- 5 0 <br />20 <br />.3145 <br />14 <br />.337 <br />1.0535 <br />3 1 <br />3.0 18 <br />.94924 <br />•. 4 0 <br />2 0. <br />44" <br />„6 <br />.495 0 <br />1:1158 <br />2.254 <br />2.020 <br />.89623 <br />4 0 <br />30 <br />.3173 <br />.3346 <br />1.0545 <br />3.152 <br />2:989 <br />:04832 <br />30 <br />;- 30 <br />:4462 <br />:4986 <br />1.1174 <br />2.2412:006 <br />.89493 <br />30 <br />.46 <br />.3201 <br />:3378 <br />1.0555 <br />3.124 <br />2.960 <br />.947,40: <br />M <br />. 40 <br />.4488 <br />:5022 <br />1.1190 <br />2.228 <br />1.991 <br />:89363 <br />. 20 <br />50 <br />.3228 <br />.3411 <br />1:0566 <br />3:098 <br />2.932 <br />.94646 <br />10 <br />" 50 <br />.4514 <br />.5059 <br />1,1207 <br />2.215 <br />1.977 <br />.89232 <br />10 <br />19 <br />.3256 <br />:3443 <br />1.0576 <br />3.072 <br />2.904 <br />.94552 <br />71' . <br />27 : <br />.4540 <br />.5095 <br />1.:1223 <br />2.203 <br />1.963 <br />.89101 <br />63. <br />10 <br />.3233 <br />.3476 <br />1.0587 <br />3:046 <br />2.877 <br />:94457 <br />50 <br />10 <br />.4566 <br />.5132 <br />1.1240 <br />2.190 <br />1.949 <br />.88968 <br />50 <br />20 <br />.3311 <br />.3503 <br />1:0598 <br />3.020 <br />2.850 <br />.04361 <br />40 <br />20 <br />.4592 <br />.5169 <br />1.1257 <br />2.178 <br />1.935 <br />:88835 <br />40 <br />30 <br />.3338 <br />.3541 <br />1.0608 <br />2.996 <br />2.824 <br />.94264 <br />30 <br />30 <br />.4617 <br />.5206 <br />1.1274 <br />2.166 <br />1.921 <br />.88701 <br />_30 <br />40 <br />.3365 <br />:3574 <br />1:0619 <br />2.971 <br />2.798 <br />:94167 <br />20 <br />40 <br />.4643 <br />.5243 <br />1.1291 <br />2,U4 <br />1:907 <br />.88566. <br />20 <br />50[3393 <br />.3607.1.06312:947 <br />2.773 <br />.94068 <br />10 <br />50 <br />.4669 <br />.5280 <br />1.1308 <br />2.142 <br />1':894 <br />.88431 <br />.'10 <br />20 <br />;2420 <br />.365,40 <br />1.0642 <br />2.924 <br />2.747 <br />.93969 <br />70 - <br />28 • <br />.4695 <br />.5317 <br />1.1326 <br />2.1301.881 <br />.88295 <br />62 `. <br />" I0 <br />.3443 <br />.3673 <br />1:0653 <br />2.900 <br />2.723 <br />.93869 <br />"50 <br />10 <br />:4720 <br />.5354 <br />1.1343 <br />2.119 <br />1.868 <br />:88158, <br />50 <br />20 <br />.3475 <br />.37061':0665 <br />2.878 <br />2.699 <br />.93769 <br />40 <br />20 <br />:4746 <br />.5392 <br />1.1361 <br />.107 <br />1.855 <br />.83020 <br />40 <br />30 <br />.3502 <br />.3739 <br />1.0676 <br />2.856 <br />2.675 <br />:93667. <br />30 <br />30 <br />.4772 <br />.5430 <br />1.1379 <br />2.096 <br />1:842 <br />.87882 <br />30 <br />40 <br />.3529 <br />.3772 <br />1.0688 <br />2.833 <br />2.651 <br />.93565 <br />20 <br />,. 40 <br />.4797 <br />.5467 <br />1.1397 <br />2.05 <br />1.829 <br />.87743 <br />20 <br />50 <br />.3557 <br />.3305 <br />1.0700 <br />2.811 <br />2.628 <br />.93462 <br />'10 <br />50 <br />.4823 <br />.5505 <br />1.1415 <br />2.073 <br />1.816 <br />.87603 <br />10 <br />21:3584 <br />:3839 <br />1.0711 <br />2.790 <br />2.605 <br />.93358 <br />69 - 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