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Natural Trigonometrical Functionst <br />Angle, Sin. Tan. Sea. Cosec: Cot g. Cosh, <br />Angle. Sin. Tea Seo. Cosec Cato. Costa. <br />0.4 <br />o, <br />3 <br />r <br />0 <br />0 <br />0 <br />1, <br />00 <br />00 <br />1. <br />g0 <br />8 <br />.1392 <br />.1405 <br />1.0098 <br />7,185 <br />7.115 <br />.9902 <br />82 <br />10 <br />.0029 <br />'.0058 <br />.0029. <br />1:041 <br />3.8 <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 />50 <br />20 <br />.28 <br />.0058 <br />1.042 <br />171:9 <br />171: <br />9 .99998 <br />' 40 <br />26 <br />.1449 <br />.14&5 <br />1.0107 <br />6, 900 <br />6.827 <br />, 989 <br />40 <br />30 <br />.0087 <br />.0087 <br />1.042 <br />114;6114;6 <br />.9999 <br />' 30 <br />;'30 <br />.1478 <br />.1495 <br />1.0111 <br />6,766 <br />6.691 <br />,9890 <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 />6,638 <br />6.561 <br />.98858 <br />20 <br />50 <br />,0145 <br />.0145 <br />1.0001 <br />68.7 <br />68.75 <br />:9998 <br />10 <br />56 <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 />n.29 <br />.9998 <br />89. <br />9 . <br />:1584 <br />.1584 <br />1:0125 <br />8.394 <br />6.314 <br />.98769 <br />81 <br />10 <br />.0204 <br />.020 <br />1.0002 <br />49:11 <br />49.10 <br />.9997 <br />50 <br />10 <br />:1593 <br />.1814 <br />1.0129 <br />6.277 <br />6:197 <br />.98 <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 />:1644 <br />1.0134 <br />.166 <br />6,084 <br />.98676 <br />,50 <br />40 <br />30 <br />.0262 <br />.0262 <br />1.0003 <br />38.20 <br />38.19 <br />.9996 <br />30 <br />30 <br />.1850 <br />.1873 <br />1.0139 <br />6.059 <br />5:976 <br />.98629 <br />30 <br />40 <br />.0291 <br />.0291 <br />1.0004 <br />34,38 <br />34.37 <br />.9995 <br />20 <br />- 40 <br />.1679 <br />,1703 <br />1,0144 <br />5,955 <br />5.871 <br />:98580 <br />20 <br />60 <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 />28.6 <br />28.64 <br />,9993988 <br />72 ' <br />10_ <br />.1736 <br />.1763 <br />1.0154 <br />5.759 <br />5.671 <br />.89879 <br />80 <br />10 <br />.0378 <br />.0378 <br />1.0007 <br />26,45 <br />26.43 <br />,9992 <br />50 <br />10 <br />.1765 <br />.1793 <br />1.0160 <br />5.665 <br />5.576 <br />.98481 <br />.98430 <br />50 <br />20.0407.04071.000824,5624:54.9991 <br />.3145 <br />3314 <br />1.0535 <br />3:179 <br />3:018 <br />:94924 <br />40 <br />20:1794.18231,01855.5755.485.98878 <br />:4436 <br />.49501.1168 <br />2.254 <br />2.020 <br />.89623 <br />40 <br />30 <br />,0436.04371.001022,9322.90.9990 <br />.33461•.0545 <br />3-:152 <br />2.989 <br />.94832 <br />30, <br />30.1822.18531.01705,4885.396.98325 <br />.4462 <br />.4986 <br />1.1174 <br />2:2412.006 <br />.89493 <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 />.89363 <br />20 <br />50 <br />.0494 <br />.0495 <br />1.0012 <br />20.23 <br />20.21 <br />.99878 <br />:10 <br />50 <br />.1880 <br />.1914 <br />.0181 <br />5.320 <br />5.226 <br />.98272 <br />.*9821'E <br />10 <br />S. <br />.0523 <br />.052 <br />1.0614 <br />19,11 <br />19.08 <br />.9986387 <br />71 ' <br />11 , <br />.1908 <br />.19441.0 <br />. 187 <br />5:2415.145 <br />1.963 <br />.98183 <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 />5:164 <br />.066 <br />.98107 <br />b0 <br />20 <br />.0581 <br />.05821,001717.2017.17 <br />1.0598 <br />3.020 <br />.850 <br />.99831 <br />40 <br />_ 20:1965.20041.0299 <br />.4592 <br />.5169 <br />:1257 <br />",0894.989.98050 <br />.88835 <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 />.88701 <br />30 <br />40 <br />.0840 <br />.0641 <br />1.0020 <br />15.84 <br />15:60 <br />.99795.'20 <br />20 <br />40 <br />.2022 <br />.2065 <br />1.0211 <br />4.945 <br />4,843 <br />.97992 <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 />4.773-97875 <br />.88431 <br />10 <br />0 <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 />.705 <br />.88295 <br />78 <br />10 <br />,0727 <br />.07291.0027 <br />1.0653 <br />13.76 <br />131.73 <br />.9973. <br />50 <br />,' 10 <br />:2108 <br />.2156 <br />1.023o <br />.745 <br />'.638:97754 <br />,97815 <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 />,2186 <br />1.0238 <br />4.692 <br />4.574 <br />,97692 <br />40 <br />30 <br />:0785 <br />.0787 <br />1.0031 <br />12.75 <br />12.71 <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 />.0816 <br />1.0033 <br />12.29 <br />12.25 <br />.99668 <br />20 <br />40 <br />.2193 <br />.2247 <br />1.0249 <br />.560 <br />,449 <br />.97566 <br />20 <br />60 <br />.6843 <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 />:502 <br />4.390 <br />.87603 <br />10 <br />5 .; <br />.0872 <br />.0875 <br />1,0038 <br />11.47 <br />11.43 <br />:09619 <br />86 <br />13 <br />.2250 <br />.2309 <br />1:0263 <br />4.445 <br />4.331 <br />.97502 <br />.97437 <br />77 <br />10 <br />:0901 <br />.0904 <br />1.0041 <br />11.10 <br />11.06 <br />.99594 <br />50 <br />.• 16 <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 />.9958 <br />40 <br />X20 <br />.2306 <br />.2370 <br />1.0277 <br />4.336 <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 />' ;30.2334.24011.0284 <br />.4924 <br />.5658 <br />1.1490 <br />,2844.165.97237 <br />1:767 <br />.87036 <br />30 <br />40 <br />,0987 <br />:0992 <br />1.0049 <br />10:18 <br />10.08 <br />.99511 <br />20 <br />40 <br />.2363 <br />.2432 <br />1.0291.232 <br />2.020 <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 />.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 <br />.2419 .2493 <br />.5774 <br />1'.0306 <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 />12524 <br />1:0314 <br />4.086 <br />3.962 :96959 <br />50 <br />20 <br />,1103 <br />.1110 <br />1.0061 <br />9.065 <br />9.010 <br />.99390. <br />40 <br />20 <br />.2476 <br />.2555 <br />1.0321 <br />.039 <br />:914 .96887 <br />.86310 <br />40 <br />30 <br />,1132 <br />.1139 <br />1.0065 <br />8.834 <br />8:777 <br />.99357. <br />30 <br />-30 .2504 <br />.2586 <br />1,0329 <br />1.1606 <br />3.9943.867 <br />1.698 <br />.86163 <br />30 <br />40 <br />:1161 <br />.1169 <br />1:0068 <br />8.614 <br />8.556 <br />.99324 <br />{ 20 <br />, 40 :2532 <br />.2617 <br />1.0337 <br />1.1626 <br />3.949 <br />.96815 <br />j.821 <br />96742 <br />20 <br />69 <br />.1190 <br />.1198 <br />1.0072 <br />8.405 <br />8.345 <br />.99290 <br />'10 <br />50 .2560 <br />:2648 <br />1.0345 <br />3.906 <br />1.951 <br />3.776 .96667 <br />. <br />10 <br />7 ' <br />.1219 <br />.1228 <br />1.0075 <br />8.206 <br />8:144:99255 <br />.92050 <br />83', <br />15 :2588 <br />:2679 <br />1:0353 <br />3.864 <br />3.732 <br />1.664 <br />75 <br />59 <br />'10 <br />.1248 <br />.1257 <br />1:0079 <br />8.016 <br />7.953 <br />.99219 <br />50 <br />10 .2616 <br />.2711 <br />1.0361 <br />1.1687 <br />.822 <br />.96593 <br />'.689 .96517 <br />.85567 <br />50 <br />20 <br />:1276 <br />.1287 <br />1.0082 <br />7:834 <br />7.770 .99182 <br />.91822 <br />40 <br />20 .2644 <br />.2742 <br />1.0369 <br />3.782 <br />3.647 <br />.96440 <br />.85416 <br />40 <br />,80 <br />.1305 <br />.1317 <br />1.0086 <br />7.661 <br />7.596 .99144 <br />.91706 <br />'30 <br />"'30 .2672 <br />.2773 <br />1.0377 <br />3.742 <br />3.606.96363 <br />1.632 <br />.85264 <br />'30 <br />40 .1334 <br />.1346 <br />.4383 <br />1.0090 <br />7.496 <br />7.429 .99108 <br />.91590 <br />20 <br />40 .2700.2805 <br />.5250 <br />1.0386 <br />3.703 <br />3.566 <br />.96285 <br />.85112 <br />20 <br />50 .1363 <br />.1378 <br />.4417 <br />1.0094 <br />:337 7.269 <br />:99067 <br />:91472 <br />10 <br />50 .2728 <br />,2836 <br />1,0394 <br />3.665 <br />3.528 <br />.96208 <br />.84959 <br />30 <br />8P <br />o� <br />74 <br />58 <br />or <br />Cosh. Coto. Cosec Sea Tan. Sin. Aegis Cosin. COW Cosec. Sea' Tac' Sin. Angle <br />xx <br />Natural _TrigonometricalFunctions <br />Angla•Slm,' Tan: Sec: "Cosec: Cato Cosin. , .. <br />Angle. Shu Ten.` Sec: ' Casm Cotg. Cosln. <br />16- <br />.27 <br />.2867 <br />1.0403 <br />3.628 <br />3.487 <br />:96126 <br />74 <br />24 <br />.4067,:4452 <br />1.0946 <br />2.459 <br />2.246 <br />.91 <br />68 <br />10 <br />:2784 <br />.2899 <br />1:041 <br />3.592 <br />3.450 <br />.96046.. <br />50 <br />10 <br />.4094 <br />..4487 <br />1.09612.443 <br />2.229 <br />.9123 <br />. 50 <br />20 <br />.28 <br />,2031 <br />1.042 <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 />.2840 <br />.2902 <br />1.042 <br />3:5213:376 <br />.95882. <br />' 30 <br />30 <br />:4147 <br />,4557 <br />1.0989 <br />2.411 <br />2.194 <br />.90996 <br />30 <br />40 <br />.2868 <br />.2994 <br />1.043 <br />3,487 <br />3:340 <br />.95799 <br />' 20 <br />40 <br />.4173 <br />:4592 <br />1.1004 <br />2.39 <br />2.177 <br />.90875 <br />:20 <br />50 <br />':2896 <br />.30261:044 <br />3:453 <br />3.305 <br />:95715 <br />-.10 <br />50 <br />,4200 <br />.4628 <br />1.1019 <br />2.3812.161 <br />.90753 <br />10 <br />17' .: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 />.3089 <br />LOW 046 <br />3:388 <br />3:237 <br />.95545. <br />50 <br />. '10 <br />.4253 <br />.4699 <br />1.1049 <br />2.3512.128 <br />.90507 <br />50 <br />20 <br />:2979 <br />.3121 <br />1.047 <br />3:357 <br />3:204 <br />:95459 <br />46 <br />,' 20 <br />.4279 <br />.47341:1064 <br />2.337 <br />2.112 <br />.90383 <br />.40 <br />30 <br />.3007 <br />.3153 <br />1.048 <br />3:326 <br />3:172 <br />.95372 <br />30 <br />.30 <br />.4305 <br />.4770 <br />1.1079 <br />2.323 <br />2.097 <br />.90259 <br />30 <br />40 <br />.3035 <br />.3185 <br />f.0495 <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 />26 <br />50 <br />.3062 <br />.32171:0505 <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 />18'..3090 <br />.3249 <br />1.0515 <br />3.236 <br />3.078 <br />.95106 <br />72 ' <br />M <br />.4384 <br />.48771.1128 <br />2.2812:050 <br />.89879 <br />64 <br />10 <br />.3118 <br />.3281 <br />1.0525 <br />3.207 <br />3:048 <br />.95015 <br />' 60 <br />' ' 10 <br />.4410 <br />.4913 <br />1.1142 <br />2.268 <br />2.035 <br />.89752 <br />60 <br />'20 <br />.3145 <br />3314 <br />1.0535 <br />3:179 <br />3:018 <br />:94924 <br />'40 <br />L'20 <br />:4436 <br />.49501.1168 <br />2.254 <br />2.020 <br />.89623 <br />'40 <br />• 30 <br />:3173 <br />.33461•.0545 <br />3-:152 <br />2.989 <br />.94832 <br />' 30 <br />. 30 <br />.4462 <br />.4986 <br />1.1174 <br />2:2412.006 <br />.89493 <br />30 <br />40 <br />.3201 <br />.3378 <br />1.0555 <br />3.124 <br />iMO <br />.94740 <br />- 20 <br />40 <br />:4488 <br />.50221, <br />1190 <br />2.2281.991 <br />.89363 <br />20 <br />60 <br />:3228 <br />.34111.05663.'0982.932 <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 />':904 <br />.94552 <br />71 ' <br />27 ., <br />.4540 <br />.5095 <br />1.1223 <br />.203 <br />1.963 <br />.89101 <br />63 <br />10 <br />.3283 <br />.3476 <br />1.0587 <br />3.046 <br />.877 <br />.94457 <br />50 <br />.'10 <br />.4566 <br />.5132 <br />1.1240 <br />.190 <br />1.949 <br />.88968 <br />50 <br />20 <br />.3311 <br />.3508 <br />1.0598 <br />3.020 <br />.850 <br />.94361 <br />40 <br />' 20 <br />.4592 <br />.5169 <br />:1257 <br />1.1781.935 <br />.88835 <br />40 <br />30 <br />,3338 <br />.3541 <br />1'.0608 <br />2.996 <br />.824.9V64 <br />30 <br />30 <br />.4617..5206 <br />1 :1274 <br />1.1661.921 <br />.88701 <br />30 <br />40 <br />.3365 <br />.3574 <br />1.0619 <br />2.971 <br />.798 <br />.94167 <br />20 <br />40.4643 <br />.5243 <br />1.1291 <br />.154 <br />1:907 <br />.88566 <br />20 <br />60 <br />.3393 <br />.3607 <br />1.0631 <br />.947 <br />.773 <br />.94068 <br />-10 <br />b0 <br />.4669 <br />.5280 <br />1.1308 <br />i.142 <br />1.894 <br />.88431 <br />. 10 <br />20- <br />.3420 <br />.3640 <br />:0642 <br />2.924 <br />.747 <br />.9396970 <br />28 ..4695 <br />.5317 <br />1.1326 <br />1.1301.881 <br />.88295 <br />62 <br />10 <br />.3448 <br />.3673 <br />1.0653 <br />.900 <br />.723 <br />.93869 <br />'S0 <br />10 <br />.4720 <br />.5354 <br />.1343.119 <br />1.868 <br />.88158 <br />.50 <br />-20 <br />.3475 <br />.3706 <br />.0665 <br />.878 <br />.699 <br />.93769 <br />'40 <br />20 <br />.4746 <br />.5392 <br />.1361 <br />.107 <br />1.855 <br />.88020 <br />'• 40 <br />30 <br />.3502 <br />.3739 <br />1:0676 <br />2.856 <br />.675 <br />.93667 <br />30 <br />`30 <br />.4772 <br />.5430 <br />.1379 <br />.096 <br />1.842 <br />.87882 <br />30 <br />40 <br />'3529 <br />.3772 <br />1:0688 <br />2.833 <br />'.651 <br />;93565 <br />20 <br />40 <br />.4797 <br />.5467 <br />1.1397 <br />.085 <br />1.829 <br />.87743 <br />,20 <br />50 <br />:3557 <br />.3805 <br />1:0700 <br />2:811 <br />.628 <br />.93462 <br />10 <br />.50 <br />.4823 <br />:5505 <br />.1415 <br />.073 <br />1.816 <br />.87603 <br />10 <br />21:,' <br />.3584 <br />.3839 <br />.07112.790 <br />.605 <br />.93358 <br />69' <br />29 <br />:4848 <br />.5543 <br />1.1434 <br />.063 <br />1.804 <br />.87462 <br />61 <br />10 <br />.3611 <br />.3872 <br />1.0723 <br />:769 <br />.583 <br />.93253 <br />• 50 <br />10 <br />.4874 <br />.5581 <br />:1452 <br />.052 <br />1:792 <br />.87321' <br />60 <br />20 <br />.3638 <br />.39061.0736 <br />• <br />2.749 <br />':560 <br />.93148 <br />40 <br />20 <br />:4899 <br />.5619 <br />1.1471 <br />.041 <br />1.780 <br />.87178 <br />40 <br />30 <br />.3665 <br />.3939 <br />f.0748 <br />2.729 <br />i.539 <br />.93042 <br />30 <br />30 <br />.4924 <br />.5658 <br />1.1490 <br />2.031 <br />1:767 <br />.87036 <br />30 <br />140 <br />.3692 <br />.3973 <br />1.0760 <br />2.70£ <br />:517.92935 <br />20 <br />40 <br />:4950 <br />.5696 <br />1.1509 <br />2.020 <br />1.756 <br />.86892 <br />20 <br />50 <br />.3719 <br />.40061:0773 <br />2.689 <br />1.406 <br />.92827 <br />10 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