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S. <br />Natural Trigonometrical Functions <br />Angle.Sin..Ten. Sea' Casea Colg. Cosln. <br />Angle. Sin. T. Sec. Cosoo. Cotg. Cosin. . <br />or. <br />- <br />or <br />D <br />0 <br />.0 <br />1. <br />oo <br />- 00 <br />1-. <br />90. <br />1 <br />.1392 <br />,1405 <br />1.0008 <br />7.195 <br />7.115.99027 <br />.91355 <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 />.9598 <br />50 <br />20 <br />.0058 <br />.0058 <br />' " •` <br />171.9 <br />171.0 <br />.99998 <br />40' <br />20 <br />.1449 <br />-1455 <br />1.0107 <br />6.000 <br />6.827 <br />:95944 <br />40 <br />30 <br />.0057 <br />.0087 <br />1.0429 <br />114.6114 <br />'.6 <br />.99996 <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 />.9999. <br />20 <br />.40 <br />.1507 <br />,1524 <br />1_0115 <br />6.636 <br />6.561 <br />.9SS5S <br />20 <br />50 <br />.0145 <br />.0145 <br />1.0001 <br />63.76 <br />68.75 <br />.9995 <br />-10 <br />50 <br />.1536 <br />.1554 <br />1.0120 <br />6.512 <br />6.435 <br />.95814 <br />10 <br />1 <br />.0175 <br />.0175 <br />1.0002 <br />57.30 <br />57.29 <br />:099S5 <br />89 . <br />9 <br />1564 <br />-1584 <br />1.0125 <br />0.394 <br />6.314 <br />.98769 <br />81 <br />10 <br />.0204 <br />.0204 <br />1.0002 <br />49:11 <br />49.10 <br />.00979 <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 />42:00 <br />.99973 <br />40 <br />;. 20 <br />.1622 <br />.1644 <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 />.'99960 <br />30 <br />30 <br />:1650 <br />.1673 <br />1.0139 <br />6.059 <br />5.976 <br />.08629 <br />30 <br />40 <br />.0291 <br />.0291 <br />1.0004 <br />34.38 <br />34.37 <br />.0995 <br />,_20 <br />40 <br />.1679 <br />.1703 <br />1.0144 <br />5.955 <br />5.571 <br />.98550 <br />20 <br />50 <br />.0320 <br />.0320 <br />1.0005 <br />31.26 <br />31.24 <br />.99949 <br />10 <br />. 56 <br />.1708 <br />.1733 <br />1.0149 <br />5.855 <br />5:769 <br />.95531 <br />10 <br />2 <br />.0349 <br />.0349 <br />1.0006 <br />28.65 <br />28.64 <br />.9993988 <br />10 <br />.1736 <br />.1763 <br />1.0154 <br />5.759 <br />5.671 <br />.9S481 <br />BO <br />10 <br />.037S <br />.0378 <br />1.0007 <br />26.45 <br />26.43 <br />.99929 <br />50 <br />10 <br />.1765 <br />,1793 <br />1.0160 <br />5.665 <br />5.576 <br />.98430 <br />50 <br />20 <br />.0407 <br />.0407 <br />1.0008 <br />24.56 <br />24.54 <br />,99917 <br />40 <br />".20 <br />.1794 <br />,1523 <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 />.1522 <br />,1553 <br />1.0170 <br />5.458 <br />5.396 <br />.98325 <br />30 <br />-40 <br />.0465 <br />OiG6 <br />1.0011 <br />21.49 <br />21:47 <br />:99892. <br />20 <br />40 <br />:1351 <br />,1893 <br />1.0176 <br />5.403 <br />5.309 <br />.98272 <br />20 <br />"50 <br />.0494 <br />.0495 <br />1.0012 <br />20.23 <br />20:21 <br />.99878'- <br />"'10 <br />56 <br />:1850 <br />.1614 <br />1.01815.320 <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 />.1905,,1944 <br />.5095 <br />1.0187 <br />5.241 <br />5.145 <br />.98163 <br />79 <br />10 <br />'"0552 <br />.05N <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 />.93107 <br />50 <br />20 <br />.0581 <br />.0592 <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 />.99050 <br />40 <br />= 30 <br />.0610 <br />.0612 <br />1.0019 <br />16.38 <br />16.35 <br />.00813 <br />30 <br />_30 <br />.1994 <br />,2035 <br />1.0^_05 <br />5.016 <br />4.015 <br />.97992 <br />30 <br />40 <br />.0640 <br />.0611 <br />1.0020 <br />15.61 <br />15.80 <br />.99795 <br />. 20. <br />40 <br />.2022 <br />.2065 <br />1:0211 <br />4.945 <br />4.843 <br />.97934 <br />20 <br />50 <br />.0669 <br />.0670 <br />1.0022 <br />14.06 <br />14.92 <br />.99776 <br />10 <br />50 <br />12051 <br />.2095 <br />1.0217 <br />.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 />:09736 <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'.99714 <br />.93769 <br />"40 <br />20 <br />:2136 <br />.2156 <br />1.0236 <br />4.`652 <br />4.674 <br />.97692 <br />40 <br />v' N <br />.0785 <br />:07871.0031 <br />1.0676 <br />12.75 <br />12.71 <br />.99692 <br />•'-30 <br />30 <br />.2164 <br />.2217, <br />1.0243 <br />4.620 <br />4.511 <br />.97630 <br />30 <br />40 <br />.0314 <br />.0316 <br />1.0033 <br />12.29 <br />12.25 <br />.99668 <br />20 <br />40 <br />.2193 <br />.2247.1.0240 <br />1.1397 <br />4.560 <br />4.449 <br />.97566 <br />20 <br />50 <br />.0843 <br />OS4G <br />1.0036 <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 />.97502 <br />10 <br />5 - <br />.0372 <br />.0375 <br />1.0038 <br />11.47 <br />11.43 <br />.99619 <br />85 <br />'13 <br />:2250 <br />.2309 <br />1.0-963 <br />4.445 <br />4.331 <br />.07437 <br />77 <br />10 <br />.0901 <br />.0904 <br />1.0041 <br />11.10 <br />11.06 <br />.90594 <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 <br />.2370 <br />1.0277 <br />4.338 <br />4.210 <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 />1.0234 <br />.284 <br />4.165 <br />.97237 <br />30 <br />40 <br />.0957 <br />.0992 <br />1.0049 <br />10.13 <br />10.08 <br />.09511 <br />20 <br />40 <br />.2363 <br />.2432 <br />1.0201 <br />4.232 <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 />4.061 <br />.97100 <br />10 <br />6 <br />.1045 <br />.1051 <br />1.0055 <br />9.567 <br />9.514 <br />.99452 <br />84 <br />14 ..2419 <br />.5000 <br />.2493 <br />1.0306 <br />4.133 <br />4.011 <br />.97030 <br />76 <br />-10 <br />.1074 <br />.1080 <br />1.0058 <br />9.300 <br />9.255 <br />.99421 <br />50 <br />10 <br />.2447 <br />.2524 <br />1.0314 <br />4.086 <br />3.962 <br />.06959 <br />50 <br />20 <br />.1103 <br />.1110 <br />1.0061 <br />9.OG5 <br />9.010 <br />.99390 <br />40 <br />20 <br />.2476 <br />.2555 <br />1',0321 <br />.039 <br />3,014 <br />.96887 <br />40 <br />30 <br />.1132 <br />.1139 <br />1.0065 <br />8:534 <br />3.777 <br />.99357 <br />30 <br />30 <br />.2504 <br />.2550 <br />1.0320 <br />.91 <br />.867 <br />.96515 <br />30 <br />40 <br />.1161 <br />.1169 <br />I.000S <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 />06742 <br />20- <br />;.50 <br />.1190 <br />.1193 <br />1.0072 <br />3.405 <br />8.345 <br />:99290 <br />10 <br />50 <br />.2560 <br />.2649 <br />1.0345 <br />.908 <br />.775 <br />.96667 <br />10 <br />7 .. <br />'.121fl <br />.1228 <br />1.0075 <br />8.20fi <br />8.144 <br />.J9255 <br />83 <br />15 <br />.2588 <br />.2670 <br />1.0353 <br />.504 <br />3.732 <br />.90593 <br />T5 <br />10 <br />.]248 <br />.1257 <br />1.0079 <br />3.018 <br />7.953 <br />.99210 <br />50 <br />10 <br />.2616 <br />.2711 <br />1.0361 <br />3.822 <br />3.680 <br />.96517 <br />50 <br />20 <br />.1276 <br />.1287 <br />1.0032 <br />7.834 <br />7.770 <br />.99132 <br />40 <br />20 <br />.2644 <br />.2742 <br />1"0369 <br />3.752 <br />3.647 <br />-96440 <br />40 <br />30 <br />.1305 <br />.1317 <br />1.0086 <br />7.661 <br />7.596 <br />.09144 <br />30 <br />30 <br />.2672 <br />.2773 <br />1.0377 <br />.742 <br />3.506 <br />.96363 <br />30 <br />40 <br />.1334 <br />.1346 <br />1.0090 <br />7.496 <br />7.429 <br />.99100 <br />20 <br />40 <br />.2700 <br />.2805 <br />1.53883.703 <br />1.905 <br />3.506 <br />.06285 <br />20 <br />501-13631.137011.0094 <br />.4041 <br />.4417 <br />1.0932 <br />,337 <br />7.269 <br />.99067 <br />10 <br />50 <br />.272E <br />.2536 <br />1.0304 <br />3.665 <br />3.526 <br />.96206 <br />10 <br />- <br />82 <br />or <br />Angle <br />74 <br />o. <br />Angle <br />Cosin. <br />Cotg. <br />Cosec <br />Sea <br />Tan. <br />Sin. <br />Cosln. <br />Cotg. <br />Cosec. <br />Sec. <br />Tan. <br />Sin. <br />XI <br />Natural._Trigonometrical Functions <br />Angle. Sin. Ten.: Sea Cosec Cotg. Cosin. <br />Angle. Sin. Tan. Soa Cosec Cotg. Cosin. - <br />or. <br />- <br />or <br />16 <br />.2756.2867 <br />1.0403 <br />3.625 <br />3.487 <br />.9612 <br />74 <br />24 <br />.4067 <br />.4452 <br />1.0946 <br />2.459 <br />2.246 <br />.91355 <br />68 <br />10 <br />.2784 <br />.2590 <br />1.0412 <br />3.592 <br />3.450 <br />.96046 <br />50 <br />10:.4094 <br />.4487 <br />1.0961 <br />2.443 <br />2.229 <br />.91236 <br />60 <br />20 <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 />30 <br />.2540 <br />.2962 <br />1.0429 <br />3.521 <br />3.376 <br />.95852 <br />30 <br />30 <br />.4147 <br />.4567 <br />1.0989 <br />2.411 <br />2.194 <br />.90996 <br />30 <br />40 <br />.2868 <br />.2994 <br />1.0438 <br />3.487 <br />3.340 <br />.95700 <br />20 <br />40 <br />.4173 <br />.4592 <br />1.1004 <br />2.39f <br />2.177 <br />.90875 <br />. 20 <br />50 <br />.2596 <br />.3026 <br />1.0448 <br />3.453 <br />3.305 <br />.95715 <br />10 <br />50 <br />.4200 <br />.4628 <br />1.1019 <br />2.381 <br />2.161 <br />.90753 <br />10 <br />17 <br />.2924 <br />.3057 <br />1.0457 <br />3.420 <br />3.271 <br />.95630 <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 />.3059 <br />1.0466 <br />3.358 <br />3.237 <br />.95545 <br />- 50 <br />10 <br />.4253 <br />.4599 <br />1.1099 <br />2.351 <br />2.128 <br />.90507 <br />50 <br />20 <br />.2970 <br />.3121 <br />1'047C <br />3.357 <br />3.204 <br />.95459 <br />' 40 <br />20 <br />.4279 <br />.4734 <br />1.1064 <br />2.337 <br />2.112 <br />.90383 <br />40 <br />�0.3007.31531.04853.3263.172.95371 <br />30 <br />0.4305. <br />.3232.097 <br />.902 9 <br />30 <br />40 <br />.3035 <br />.3185 <br />1.0495 <br />3.295 <br />.140 <br />.05284 <br />20 <br />40 <br />.4331 <br />.4506 <br />1.1095 <br />2.309 <br />2.081 <br />.00133 <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 />.00007 <br />10 <br />19 <br />.3090 <br />.3249 <br />1.0515 <br />3.236 <br />3.078 <br />.9510672 <br />26 <br />.4384 <br />.4577 <br />1.1126 <br />2.2812.050 <br />.89879 <br />64 <br />10 <br />.3118 <br />.3281 <br />1.0525 <br />3.207 <br />3.045 <br />.95015 <br />'50, <br />.10 <br />.4410 <br />.4913 <br />1:1142 <br />2.2GS <br />2.035 <br />.89752 <br />50 <br />20 <br />.3145 <br />.33141:0535 <br />3.179 <br />3.O1S <br />.94924 <br />40 <br />' `20 <br />:4436 <br />.4950 <br />1.1158 <br />2.254 <br />2.020 <br />.89623 <br />40 <br />30 <br />'.3173 <br />.3346 <br />1.0545 <br />3.152 <br />.989 <br />.94832 <br />30. <br />SO <br />.4462 <br />.4956 <br />1.1174 <br />2.241 <br />2.006 <br />.89493 <br />30 <br />40 <br />.3201 <br />.3378 <br />1.0555 <br />3.124 <br />.960 <br />.94740 <br />20 <br />40 <br />.4488 <br />.5022 <br />1.1190 <br />2.229 <br />1.001 <br />.59363 <br />20. <br />50 <br />.3228 <br />.3411 <br />1.0566 <br />3.098 <br />2.932 <br />.94646 <br />ID <br />50 <br />.4514 <br />.5059 <br />1.1207 <br />2.215 <br />t.077 <br />.89232 <br />.10 <br />19 <br />.3256 <br />.3443 <br />1.0576 <br />3.072 <br />.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 />.3283 <br />.3476 <br />1.0587 <br />3.040 <br />.877 <br />.94457 <br />50 <br />10 <br />.4560 <br />.5132 <br />1.1240 <br />a.190 <br />1.049 <br />.8S968 <br />50 <br />20 <br />.3311 <br />.3508 <br />1.0598 <br />3.020 <br />.850 <br />.04361 <br />40 <br />20 <br />.4592 <br />.5169 <br />1.1257 <br />3.178 <br />1.935 <br />:58835 <br />40 <br />30 <br />.3338 <br />.3541 <br />1.0608 <br />2.996 <br />824 <br />.94264 <br />30. <br />'30 <br />.4617 <br />.5206 <br />1.1274 <br />2.1661.921 <br />.88701 <br />30 <br />40 <br />.3365 <br />.3574 <br />1.0619 <br />2.971 <br />798 <br />.94167 <br />20 <br />40 <br />.4643 <br />.5243 <br />1.1291 <br />2.154 <br />1.907 <br />.85566 <br />20 <br />50 <br />.3393 <br />.3607 <br />1.0631 <br />.947 <br />.773 <br />:D4068 <br />10 <br />50 <br />.4669 <br />.5250 <br />1.1308 <br />3.1421.894 <br />.58431 <br />10 <br />20 <br />.3420 <br />.3640 <br />1.0642 <br />2.924 <br />747 <br />.93969 <br />70 <br />28 <br />.4695 <br />.5317 <br />.1326 <br />.1301.881 <br />.88295 <br />62 <br />10 <br />,3448 <br />.3673 <br />1.0653 <br />2.900.723 <br />.93869 <br />50 <br />10 <br />.4720 <br />.5354 <br />1.1343 <br />3.119 <br />1.868 <br />.88158 <br />50 <br />20 <br />.3475 <br />.3706 <br />1.0665 <br />2.878 <br />.699 <br />.93769 <br />40 <br />20 <br />.4746 <br />.5392 <br />L1361 <br />2.1071.855 <br />.88020 <br />-40 <br />30 <br />.3502 <br />.3739 <br />1.0676 <br />2.956 <br />31.075 <br />.93667 <br />30 <br />30 <br />.4772 <br />.5430 <br />L.1379 <br />2.0961.342 <br />.87532 <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 />2.0851.829 <br />.87743 <br />20 <br />50 <br />.3557 <br />.3805 <br />1.0700 <br />2-811 <br />2.628 <br />.93462 <br />10 <br />50 <br />.4323 <br />.5505 <br />1.1415 <br />2.0731.810 <br />.87603 <br />10 <br />21 <br />.3554 <br />.3339 <br />1.0711 <br />2.790 <br />.605 <br />.93358 <br />69 <br />29 <br />.4848 <br />.5543 <br />L.1434 <br />1.063 <br />1.804 <br />.57462 <br />BI <br />10 <br />3611 <br />.3872 <br />1.0723 <br />.769 <br />.553.93253 <br />50 <br />10.4374.55311:1452 <br />2.0521.792.87321 <br />50 <br />20 <br />.3638 <br />.3006 <br />1.0736 <br />2.749 <br />1.560 <br />.93145 <br />40 <br />20 <br />.4899 <br />.5619 <br />1.1471 <br />3.041 <br />1.780 <br />.87178 <br />40 <br />30 <br />.3665 <br />.3939 <br />1'.0748 <br />2.729 <br />.539 <br />.93042 <br />30 <br />30 <br />.4924 <br />.5653 <br />1.1490 <br />:031 <br />1.767 <br />.87036 <br />30 <br />i 40 <br />.3692 <br />.3973 <br />1.0760 <br />.709'.517 <br />.92935 <br />20 <br />' 40.4950 <br />..5690 <br />1.1509 <br />2.0201.756.86892 <br />20 <br />50 <br />.3710 <br />.4006 <br />1.0773 <br />2.689.496 <br />.92827 <br />10 <br />50 <br />.4975 <br />.5735 <br />1.1528 <br />2.010 <br />1. 744 <br />'S6748 <br />10 <br />22 <br />.3746 <br />.4040 <br />1.0785 <br />2.670 <br />.475 <br />.02715 <br />68 <br />30 <br />.5000 <br />.5774 <br />1.1547 <br />.000 <br />1.732 <br />.56603 <br />60 <br />10 <br />.3773 <br />.4074 <br />1.0798 <br />2.650 <br />.455 <br />.92609 <br />50 <br />10 <br />.5025 <br />.5812 <br />1.1566 <br />1.990 <br />1.720 <br />.864.57 <br />50 <br />20.3500.41081.03112.632 <br />.434.92499 <br />40 <br />20 <br />.5050 <br />.5851 <br />1.15S6 <br />1.9,30 <br />1.709 <br />86310 <br />40 <br />30 <br />.3827 <br />.4142 <br />1.0824 <br />2.613 <br 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